{"id":13623,"date":"2023-01-03T09:53:11","date_gmt":"2023-01-03T04:23:11","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=13623"},"modified":"2023-01-04T12:01:39","modified_gmt":"2023-01-04T06:31:39","slug":"big-ideas-math-answers-grade-4-chapter-13","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4-chapter-13\/","title":{"rendered":"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles"},"content":{"rendered":"<p>Students who are looking for the BIM 4th Grade Answer Key Chapter 13 Identify and Draw Lines and Angles can get them on this page. We are here to give easy methods to solve the problems in Chapter 13 Identify and Draw Lines and Angles. Get the step by step explanation for all the question with examples here. Download <a href=\"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4\/\">Big Ideas Math Answers Grade 4<\/a> Chapter 13 Identify and Draw Lines and Angles pdf for free.<\/p>\n<h2>Big Ideas Math Book 4th Grade Answer Key Chapter 13 Identify and Draw Lines and Angles<\/h2>\n<p>Go through the topics covered in this chapter before starting your assignment. Identify and Draw Lines and Angles includes Points, Lines and Rays, Identify Parallel and Perpendicular Lines, Understand Degrees. If you want to learn Geometry it is necessary to learn deeply about angles and lines. Understand the concepts first and try to solve the problems given at the end of the chapter. Just click on the links and solve the problems.<\/p>\n<p><strong>Lesson: 1 Points, Lines and Rays<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.1_Points,_Lines_and_Rays\">Lesson 13.1 Points, Lines and Rays<\/a><\/li>\n<li><a href=\"#Points,_Lines_and_Rays_Homework_&amp;_Practice_13.1\">Points, Lines and Rays Homework &amp; Practice 13.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2 Identify and Draw Angles<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.2_Identify_and_Draw_Angles\">Lesson 13.2 Identify and Draw Angles<\/a><\/li>\n<li><a href=\"#Identify_and_Draw_Angles_Homework_&amp;_Practice_13.2\">Identify and Draw Angles Homework &amp; Practice 13.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3 Identify Parallel and Perpendicular Lines<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.3_Identify_Parallel_and_Perpendicular_Lines\">Lesson 13.3 Identify Parallel and Perpendicular Lines<\/a><\/li>\n<li><a href=\"#Identify_Parallel_and_Perpendicular_Lines_Homework_&amp;_Practice_13.3\">Identify Parallel and Perpendicular Lines Homework &amp; Practice 13.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4 Understand Degrees<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.4_Understand_Degrees\">Lesson 13.4 Understand Degrees<\/a><\/li>\n<li><a href=\"#Understand_Degrees_Homework_&amp;_Practice_13.4\">Understand Degrees Homework &amp; Practice 13.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 5 Find Angle Measures<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.5_Find_Angle_Measures\">Lesson 13.5 Find Angle Measures<\/a><\/li>\n<li><a href=\"#Find_Angle_Measures_Homework_&amp;_Practice_13.5\">Find Angle Measures Homework &amp; Practice 13.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 6 Measure and Draw Angles<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.6_Measure_and_Draw_Angles\">Lesson 13.6 Measure and Draw Angles<\/a><\/li>\n<li><a href=\"#Measure_and_Draw_Angles_Homework_&amp;_Practice_13.6\">Measure and Draw Angles Homework &amp; Practice 13.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 7 Add Angle Measures<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.7_Add_Angle_Measures\">Lesson 13.7 Add Angle Measures<\/a><\/li>\n<li><a href=\"#Add_Angle_Measures_Homework_&amp;_Practice_13.7\">Add Angle Measures Homework &amp; Practice 13.7<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 8 Find Unknown Angle Measures<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_13.8_Find_Unknown_Angle_Measures\">Lesson 13.8 Find Unknown Angle Measures<\/a><\/li>\n<li><a href=\"#Find_Unknown_Angle_Measures_Homework_&amp;_Practice_13.8\">Find Unknown Angle Measures Homework &amp; Practice 13.8<\/a><\/li>\n<\/ul>\n<p><strong>Performance Task<\/strong><\/p>\n<ul>\n<li><a href=\"#Identify_and_Draw_Lines_and_Angles_Performance_Task_13\">Identify and Draw Lines and Angles Performance Task 13<\/a><\/li>\n<li><a href=\"#Identify_and_Draw_Lines_and_Angles_Activity\">Identify and Draw Lines and Angles Activity<\/a><\/li>\n<li><a href=\"#Identify_and_Draw_Lines_and_Angles_Chapter_Practice_13\">Identify and Draw Lines and Angles Chapter Practice 13<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_13.1_Points,_Lines_and_Rays\"><\/a>Lesson 13.1 Points, Lines and Rays<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use a straightedge to connect the dots A through Z. Describe the picture you make. How many points do you connect? How many line segments do you make?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13885\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-1.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 1\" width=\"440\" height=\"412\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-1.png 440w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-1-300x281.png 300w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><br \/>\nAnswer:<br \/>\nPoints connected are 25.<br \/>\nLine segments used are 25.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19721 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow.jpg\" alt=\"\" width=\"519\" height=\"487\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow.jpg 519w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-300x282.jpg 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><\/p>\n<p><strong>Structure<\/strong><br \/>\nDraw your own connect-the-dots picture on another sheet of paper. Have your partner use a straightedge to connect the dots to make your picture. How many points did your partner connect? How many line segments did your partner make?<br \/>\nAnswer:<br \/>\nYes, he used line segments to connect the dots. He connected 20 dots and 19 line segments.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19724 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-2.jpg\" alt=\"\" width=\"505\" height=\"583\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-2.jpg 505w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-2-260x300.jpg 260w\" sizes=\"(max-width: 505px) 100vw, 505px\" \/><\/p>\n<p><strong>Think and Grow: Points, Lines, Line Segments, and Rays<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-13886 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-2.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 2\" width=\"627\" height=\"309\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-2.png 627w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-2-300x148.png 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nDraw and label \\(\\overline{L M}\\)<br \/>\n\\(\\overline{L M}\\) is a ___<br \/>\nAnother name for \\(\\overline{L M}\\) is ___<br \/>\nAnswer:<br \/>\nLine segments\u00a0are represented by a single overbar with no arrowheads over the letters\u00a0representing the two endpoints.<br \/>\nThe line segment Represented as \\(\\overline{L M}\\)<\/p>\n<p><a href=\"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4-chapter-13\/big-ideas-math-answer-key-grade-4-chapter-13-points-lines-ray-explore-grow-example1\/\" rel=\"attachment wp-att-19728\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19728 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-example1.jpg\" alt=\"\" width=\"415\" height=\"139\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-example1.jpg 415w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Explore-Grow-example1-300x100.jpg 300w\" sizes=\"(max-width: 415px) 100vw, 415px\" \/> <\/a><\/p>\n<p><strong>Example<\/strong><br \/>\nDraw and label \\(\\overrightarrow{S T}\\)<br \/>\n\\(\\overrightarrow{S T}\\) is a ___<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13943\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 3\" width=\"148\" height=\"241\" \/><\/p>\n<p>Answer:<br \/>\n\\(\\overrightarrow{S T}\\)<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-22665 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-ST.png\" alt=\"Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-ST\" width=\"396\" height=\"120\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-ST.png 396w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-ST-300x91.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><\/p>\n<p>Ray \\(\\overrightarrow{S T}\\)<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nName the figure shown. Write how to say the name.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13940\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.1.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 3.1\" width=\"148\" height=\"82\" \/><\/p>\n<p>Answer:<br \/>\nIt is a line segment vu. Line segments are represented by a single overbar with no arrowheads over the letters representing the two endpoints.<br \/>\nIt is represented as \\(\\overline{V U}\\)<\/p>\n<p>Question 2.<br \/>\nDraw and label two points P and Q on the line shown.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13941\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.2.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 3.2\" width=\"264\" height=\"50\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23488 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-2.jpg\" alt=\"\" width=\"307\" height=\"132\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-2.jpg 307w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-2-300x129.jpg 300w\" sizes=\"(max-width: 307px) 100vw, 307px\" \/><\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13942\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-3.3.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 3.3\" width=\"261\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23491 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-3.jpg\" alt=\"\" width=\"307\" height=\"132\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-3.jpg 307w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-3-300x129.jpg 300w\" sizes=\"(max-width: 307px) 100vw, 307px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Name the figure shown. Write how to say the name.<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13944\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-4.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 4\" width=\"58\" height=\"53\" \/><br \/>\nAnswer:<br \/>\nIt is called as point B.<br \/>\nA\u00a0point in geometry\u00a0is a location. It has no size i.e. no width, no length and no depth. A\u00a0point is shown by a dot and named in capital letter.<\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13945\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-5.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 5\" width=\"143\" height=\"90\" \/><br \/>\nAnswer:<br \/>\nIt is called as \\(\\overrightarrow{C D}\\). The symbol of a ray is \u2192.<\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13946\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-6.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 6\" width=\"71\" height=\"144\" \/><\/p>\n<p>Draw and label the figure.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19743 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Apply-grow-question-6.jpg\" alt=\"\" width=\"249\" height=\"202\" \/><\/p>\n<p>Question 7.<br \/>\n\\(\\overline{G H}\\)<br \/>\nAnswer:<br \/>\n\\(\\overline{G H}\\)\u00a0means a line segment. It is said as line segment GH.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23493 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-7.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles- Lesson 13.1-Points-Lines-Rays-Show-Grow-Question-7\" width=\"332\" height=\"109\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-7.jpg 332w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-7-300x98.jpg 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13947\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-7.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 7\" width=\"56\" height=\"41\" \/><br \/>\nAnswer:<br \/>\nIt is a ray. It is said as ray<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13947\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-7.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 7\" width=\"56\" height=\"41\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-23494\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-8.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles- Lesson 13.1-Points-Lines-Rays-Show-Grow-Question-8\" width=\"383\" height=\"93\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-8.jpg 383w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-8-300x73.jpg 300w\" sizes=\"(max-width: 383px) 100vw, 383px\" \/><\/p>\n<p>Question 9.<br \/>\n\\(\\overrightarrow{L M}\\)<br \/>\nAnswer:<br \/>\nIt means a ray. It is said as ray LM.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23495 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-9.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles- Lesson 13.1-Points-Lines-Rays-Show-Grow-Question-9\" width=\"318\" height=\"93\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-9.jpg 318w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Lesson-13.1-Points-Lines-Rays-Show-Grow-Question-9-300x88.jpg 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><\/p>\n<p>Use the figure.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-13948 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-8.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 8\" width=\"251\" height=\"194\" \/><\/p>\n<p>Question 10.<br \/>\nName a ray.<br \/>\nAnswer:<br \/>\n\\(\\overrightarrow{A D}\\).<\/p>\n<p>Question 11.<br \/>\nName a point that lies on two lines.<br \/>\nAnswer:\u00a0 E .<\/p>\n<p>Question 12.<br \/>\nName two different line segments.<br \/>\nAnswer: DE and EF.<br \/>\n\\(\\overline{D E}\\) and \\(\\overline{E F}\\)<\/p>\n<p>Question 13.<br \/>\n<strong>Logic<\/strong><br \/>\nYour friend says he can draw two line segments between two points, and may be even more. His drawing is shown. Explain why this is not possible.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13949\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-9.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 9\" width=\"138\" height=\"47\" \/><br \/>\nAnswer:<br \/>\nOnly one line can be drawn passing through any two points but a number of lines can be drawn through a point.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThere are direct ferry routes between each pair of cities on the map. Draw line segments to represent all of the possible ferry routes. How many ferry routes did you draw in all?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13950\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-10.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 10\" width=\"242\" height=\"250\" \/><br \/>\nStart at Poole. Draw a line segment from Poole to each of the other cities. Repeat this process until a route is shown between each city.<br \/>\nYou draw __ ferry routes in all.<br \/>\nAnswer:<br \/>\n3 Possible routes.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19751 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Think-Grow-Example-1.jpg\" alt=\"\" width=\"259\" height=\"280\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nThere are direct flights between each pair of cities on the map. Draw line segments to represent all of the possible flight routes. How many flights routes did you draw in all?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13951\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-11.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 11\" width=\"306\" height=\"246\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-11.png 306w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-11-300x241.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\nAnswer:<br \/>\nTotal 10 routes were found.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19752 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-show-Grow-Question-14..jpg\" alt=\"\" width=\"296\" height=\"237\" \/><\/p>\n<p>Question 15.<br \/>\nWhich road signs contain a figure that looks like a ray?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13952\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-12.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 12\" width=\"298\" height=\"182\" \/><br \/>\nAnswer:<br \/>\nOne way road sign look like a ray.<\/p>\n<p>Question 16.<br \/>\nWhich letters in the banner can be made by drawing line segments? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13953\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-13.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 13\" width=\"274\" height=\"83\" \/> ,<br \/>\nAnswer:<br \/>\nLetters &#8211; W,E,L,M AND E.<\/p>\n<h3><a id=\"Points,_Lines_and_Rays_Homework_&amp;_Practice_13.1\"><\/a>Points, Lines and Rays Homework &amp; Practice 13.1<\/h3>\n<p>Name the figure shown. Write how to say the name.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13954\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-14.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 14\" width=\"56\" height=\"119\" \/><br \/>\nAnswer:<br \/>\nIt is said as Line segment EF and represented as \\(\\overline{E F}\\).<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13955\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-15.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 15\" width=\"159\" height=\"58\" \/><br \/>\nAnswer:<br \/>\nIt is said as ray GH and represented as \\(\\overrightarrow{G H}\\).<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13956\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-16.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 16\" width=\"125\" height=\"102\" \/><br \/>\nAnswer:<br \/>\nIt is said as line JK and represented as <img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13947\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-7.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 7\" width=\"56\" height=\"41\" \/><\/p>\n<p>Draw and label the figure.<\/p>\n<p>Question 4.<br \/>\ntwo points L and M on the line shown<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13957\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-17.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 17\" width=\"177\" height=\"45\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23496 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-4.jpg\" alt=\"\" width=\"320\" height=\"143\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-4.jpg 320w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-4-300x134.jpg 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><\/p>\n<p>Question 5.<br \/>\n\\(\\overrightarrow{N O}\\)<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23497 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-5.jpg\" alt=\"\" width=\"296\" height=\"88\" \/><br \/>\nIt is represented as \\(\\overrightarrow{N O}\\).<\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13958\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-18.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 18\" width=\"49\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23498 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-6.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-6.jpg\" width=\"315\" height=\"115\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-6.jpg 315w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-6-300x110.jpg 300w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><\/p>\n<p>Use the figure.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13959\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-19.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 19\" width=\"190\" height=\"195\" \/><\/p>\n<p>Question 7.<br \/>\nName a line segment.<br \/>\n___CE____<\/p>\n<p>Question 8.<br \/>\nName two different rays.<br \/>\nAnswer:<br \/>\n\\(\\overrightarrow{C D}\\) and \\(\\overrightarrow{E F}\\).<\/p>\n<p>Question 9.<br \/>\nName two different lines<br \/>\nAnswer<br \/>\n\\(\\overline{D B}\\)and \\(\\overline{A E}\\).<\/p>\n<p>Question 10.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain the difference between a line and a line segment.<\/p>\n<p><b>Line-segment<\/b><\/p>\n<p><b>1.<\/b>\u00a0It has two end points.<\/p>\n<p><b>2.<\/b>\u00a0The length of a line-segment is definite. So, it can be measured.<\/p>\n<p><b>3.<\/b>\u00a0The symbol of a line-segment is\u00a0_____<\/p>\n<p><b>Line<\/b><\/p>\n<p><b>1.<\/b>\u00a0There are no end points in a line.<\/p>\n<p><b>2.<\/b>\u00a0There are no end points. So, length of a line cannot be measured.<\/p>\n<p><b>3.<\/b>\u00a0The symbol of a line is\u00a0\u2194<\/p>\n<p>Question 11.<br \/>\n<strong>Structure<\/strong><br \/>\nName the figure in as many ways as possible.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13961\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-20.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 20\" width=\"252\" height=\"58\" \/><br \/>\nAnswer:<br \/>\n\\(\\overline{X Y}\\),\\(\\overline{Y Z}\\) and \\(\\overline{X Z}\\).<br \/>\n\\(\\overrightarrow{Y Z }\\)<br \/>\nLINE &#8211; XZ<\/p>\n<p>Question 12.<br \/>\n<strong>Structure<\/strong><br \/>\nDraw and label a figure that has four points, two rays, and one line segment.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23501 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-12.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1 -Question-12\" width=\"354\" height=\"135\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-12.jpg 354w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Points-Lines-Rays\u2014Homework-Practice-13.1-Question-12-300x114.jpg 300w\" sizes=\"(max-width: 354px) 100vw, 354px\" \/><\/p>\n<p>\\(\\overrightarrow{R S }\\) and \\(\\overrightarrow{Q S}\\).<br \/>\n\\(\\overline{P S}\\)<\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nWrite whether the statement is true or false. If false, explain.<\/p>\n<p>Question 13.<br \/>\nA line segment is part of a line. _______<br \/>\nAnswer: Yes<\/p>\n<p>Question 14.<br \/>\nA ray is part of a line segment. ____<br \/>\nAnswer:<br \/>\nNo<br \/>\nExplanation:<br \/>\nLine-segment- It has two end points. But where as Ray has a starting point but no other end point.<\/p>\n<p>Question 15.<br \/>\nThere are an infinite number of points on a line. ___<br \/>\nAnswer: Yes<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are direct helicopter flights between each pair of resorts on the map. Draw line segments to represent all of the possible flight routes. How many flight routes did you draw in all?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13960\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-20.1.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 20.1\" width=\"259\" height=\"174\" \/><br \/>\nAnswer:<br \/>\nTotal possible flight routes are 6 routes.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19763 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.1-Question-16.jpg\" alt=\"\" width=\"260\" height=\"175\" \/><\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nWhich road signs contain a figure that looks like it is made of only line segments?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13962\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-21.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 21\" width=\"625\" height=\"101\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-21.png 625w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-21-300x48.png 300w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><br \/>\nAnswer:<br \/>\nRoad signs &#8211; +,T and Y are made of line segments.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Compare<\/p>\n<p>Question 18.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13963\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-22.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 22\" width=\"108\" height=\"39\" \/><br \/>\nAnswer:<br \/>\n0.15 &lt; 0.16.<\/p>\n<p>Question 19.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13964\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-23.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 23\" width=\"106\" height=\"44\" \/><br \/>\nAnswer:<br \/>\n2.4 &lt; 2.42<\/p>\n<p>Question 20.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13965\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-24.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 24\" width=\"102\" height=\"44\" \/><br \/>\nAnswer:<br \/>\n6.90 = 6.9<\/p>\n<h3><a id=\"Lesson_13.2_Identify_and_Draw_Angles\"><\/a>Lesson 13.2 Identify and Draw Angles<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Draw the hands of the clock to represent the given time.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13966\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-25.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 25\" width=\"576\" height=\"247\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-25.png 576w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-25-300x129.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><br \/>\nFor each clock, describe the angle that is formed by the minute hand and the hour hand.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19765 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Explore-and-Grow..jpg\" alt=\"\" width=\"570\" height=\"293\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Explore-and-Grow..jpg 570w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Explore-and-Grow.-300x154.jpg 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nExplain how line segments, rays, and angles can be related.<\/p>\n<p><strong>Think and Grow: Angles<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13967\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-26.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 26\" width=\"611\" height=\"166\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-26.png 611w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-26-300x82.png 300w\" sizes=\"(max-width: 611px) 100vw, 611px\" \/><\/p>\n<p>Angles can be either right, straight, acute, or obtuse.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13968\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-27.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 27\" width=\"624\" height=\"211\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-27.png 624w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-27-300x101.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13969\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-28.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 28\" width=\"200\" height=\"75\" \/><br \/>\nWrite three names for the angle and classify it.<br \/>\nThree names for the angle are<br \/>\n___, ____ and ____.<br \/>\nThe angle opens ___ a right angle and less than a straight line.<br \/>\nSo, it is an __ angle.<br \/>\nAnswer:<br \/>\nThree names for the angle are actue, obtuse and right angles.<br \/>\nThe angle opens more than a right angle and less than a straight line.<br \/>\nSo, it is an obtuse angle.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>write a name for the angle and classify it.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13970\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-29.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 29\" width=\"124\" height=\"117\" \/><br \/>\nAnswer:<br \/>\nIt is a right angle called as <b>\u2220<\/b>P<b>.<\/b><\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13971\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-30.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 30\" width=\"206\" height=\"63\" \/><br \/>\nAnswer:<br \/>\nIt is a straight angle. It can be represented as <b>\u2220<\/b>XYZ, <b>\u2220<\/b>ZYX.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Write a name for the angle and classify it.<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13972\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-31.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 31\" width=\"187\" height=\"83\" \/><br \/>\nAnswer:<br \/>\nIt is a obtuse angle. It is represented as <b>\u2220<\/b>Q.<\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13973\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-32.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 32\" width=\"126\" height=\"139\" \/><br \/>\nAnswer:<br \/>\nIt is a actue angle. It is represented as <b>\u2220<\/b>MNO or <b>\u2220<\/b>ONM.<\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13974\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-33.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 33\" width=\"169\" height=\"67\" \/><br \/>\nAnswer:<br \/>\nIt is a straight angle. It can be represented as <b>\u2220<\/b>RST, <b>\u2220<\/b>TSR.<\/p>\n<p>Draw and label the angle.<\/p>\n<p>Question 7.<br \/>\n\u2220XYZ is right<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23502 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.2-Identify-Draw-Angles-Question-7.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.2-Identify-Draw-Angles-Question-7.jpg\" width=\"281\" height=\"251\" \/><\/p>\n<p>Question 8.<br \/>\n\u2220JKL is straight.<br \/>\nAnswer:<br \/>\n<a href=\"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4-chapter-13\/big-ideas-math-answer-key-grade-4-chapter-13-points-lines-ray-13-2-show-grow-question-8\/\" rel=\"attachment wp-att-19769\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-19769\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-8..png\" alt=\"\" width=\"200\" height=\"83\" \/><\/a><\/p>\n<p>Use the figure. Use three letters to name each angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-13975 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-34.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 34\" width=\"252\" height=\"192\" \/><\/p>\n<p>Question 9.<br \/>\nName an acute angle.<br \/>\nAnswer:<br \/>\n\u2220CFD<\/p>\n<p>Question 10.<br \/>\nName two different obtuse angles.<br \/>\nAnswer:<br \/>\n\u2220CFG and \u2220ACF.<\/p>\n<p>Question 11.<br \/>\nName two different straight angles.<br \/>\nAnswer:<br \/>\n\u2220BDF and \u2220CDE.<\/p>\n<p>Question 12.<br \/>\nName three different right angles.<br \/>\nAnswer:<br \/>\n\u2220CFD , \u2220CFG and \u2220BDF.<\/p>\n<p>Question 13.<br \/>\nStructure<br \/>\nDraw to complete each angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13976\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-35.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 35\" width=\"524\" height=\"150\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-35.png 524w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-35-300x86.png 300w\" sizes=\"(max-width: 524px) 100vw, 524px\" \/><br \/>\nAnswer:<br \/>\n<a href=\"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4-chapter-13\/big-ideas-math-answer-key-grade-4-chapter-13-points-lines-ray-13-2-show-grow-question-13\/\" rel=\"attachment wp-att-19771\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-19771\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-13.jpg\" alt=\"\" width=\"676\" height=\"212\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-13.jpg 676w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-13-300x94.jpg 300w\" sizes=\"(max-width: 676px) 100vw, 676px\" \/><\/a><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nWhich angle of the skateboard ramp is acute?<br \/>\nYou need to find an angle that is open less than a right angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13977\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-36.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 36\" width=\"302\" height=\"149\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-36.png 302w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-36-300x148.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nAngle A opens __more than __ a right angle and less than a straight line.<br \/>\nAngle B _is equal__ a right angle.<br \/>\nAngle C opens _less than__ a right angle.<br \/>\nAngle _\u2220C__ is an acute angle.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nUse three letters to name an angle of the wind turbine that is obtuse.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13978\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-37.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 37\" width=\"164\" height=\"259\" \/><br \/>\nAnswer:<br \/>\n\u2220VTU.<\/p>\n<p>Question 15.<br \/>\nTrace and label two right angles, two obtuse angles, and two acute angles in the painting.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13979\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-38.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 38\" width=\"249\" height=\"173\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19776 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Show-Grow-Question-15.jpg\" alt=\"\" width=\"249\" height=\"267\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nHow many different angles are in the window? Name all of the different angles.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13980\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-39.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 39\" width=\"201\" height=\"135\" \/><br \/>\nAnswer:<br \/>\nRight angles &#8211; \u2220AFC , \u2220BFD , \u2220CFE<br \/>\nObtuse angles &#8211; \u2220AFD and \u2220BFE.<br \/>\nAcute angles &#8211; \u2220AFB, \u2220BFC , \u2220CFD and \u2220DFE.<br \/>\nStraight angles &#8211; \u2220AFE.<\/p>\n<h3><a id=\"Identify_and_Draw_Angles_Homework_&amp;_Practice_13.2\"><\/a>Identify and Draw Angles Homework &amp; Practice 13.2<\/h3>\n<p>Write a name for the angle and classify it.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13981\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-40.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 40\" width=\"190\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n\u2220O is straight angle.<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13982\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-41.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 41\" width=\"132\" height=\"127\" \/><br \/>\nAnswer:<br \/>\n\u2220TUV is a right angle as TU is perpendicular to UV .<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13983\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-42.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 42\" width=\"134\" height=\"130\" \/>\u2220<br \/>\nAnswer:<br \/>\n\u2220XYZ is a obtuse angle as, we can see clearly angle formed is more than 90 degrees.<\/p>\n<p>Draw and label the angle.<\/p>\n<p>Question 4.<br \/>\n\u2220ABC is obtuse.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23503 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Homework-Practice-13.2-Question-4.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles-Homework-Practice-13.2- Question-4\" width=\"378\" height=\"266\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Homework-Practice-13.2-Question-4.jpg 378w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Homework-Practice-13.2-Question-4-300x211.jpg 300w\" sizes=\"(max-width: 378px) 100vw, 378px\" \/><\/p>\n<p>Question 5.<br \/>\n\u2220MNO is acute.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23504 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Homework-Practice-13.2-Question-5.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles-Homework-Practice-13.2- Question-5\" width=\"266\" height=\"244\" \/><\/p>\n<p>Use the figure. Use three letters to name each angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13984\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-43.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 43\" width=\"212\" height=\"176\" \/><\/p>\n<p>Question 6.<br \/>\nName an acute angle.<br \/>\nAnswer: \u2220BFC<\/p>\n<p>Question 7.<br \/>\nName a straight angle.<br \/>\nAnswer: \u2220DEF<\/p>\n<p>Question 8.<br \/>\nName two different right angles.<br \/>\nAnswer: \u2220DEA and \u2220DEG.<\/p>\n<p>Question 9.<br \/>\nName three different obtuse angles<br \/>\nAnswer: \u2220EFJ and \u2220EFC.<\/p>\n<p>Question 10.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13985\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-44.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 44\" width=\"329\" height=\"180\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-44.png 329w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-44-300x164.png 300w\" sizes=\"(max-width: 329px) 100vw, 329px\" \/><br \/>\nAnswer:<br \/>\nThe above figure contains \u2220JKL a angle.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nCan you make a straight angle using an acute angle and an obtuse angle that share a common ray? Draw a picture to support your answer.<br \/>\nAnswer:<br \/>\nYes<br \/>\nExplanation:<br \/>\nThe total sum of a straight angle =180.<br \/>\nAs per the figure,<br \/>\nThe Obtuse angle = 120 degrees.<br \/>\nThe acute angle = 60 degrees.<br \/>\nTherefore The straight angle = Obtuse angle + Acute angle.<br \/>\n= 120 + 60<br \/>\n= 180 degrees.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19864 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-11.jpg\" alt=\"\" width=\"366\" height=\"270\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-11.jpg 366w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-11-300x221.jpg 300w\" sizes=\"(max-width: 366px) 100vw, 366px\" \/><\/p>\n<p>Question 12.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite a capital letter that has more than two right angles.<br \/>\nAnswer: B<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nUse three letters to name the angles of the flag of the Czech Republic that are obtuse.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13986\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-45.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 45\" width=\"258\" height=\"173\" \/><br \/>\nAnswer:<br \/>\n\u2220AFC and \u2220EFC are obtuse angles.<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nHorses see an object with binocular both eyes at the same time using vision. Classify the angle that describes the horse\u2019s binocular vision.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13987\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-46.png\" alt=\"Big Ideas Math Solutions Grade 4 Chapter 13 Identify and Draw Lines and Angles 46\" width=\"236\" height=\"257\" \/><br \/>\nAnswer:<br \/>\nThe angle that formed in binocular vision is Acute angle.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 15.<br \/>\nWrite 1\\(\\frac{7}{12}\\) as a fraction.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19871 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-15.jpg\" alt=\"\" width=\"175\" height=\"71\" \/><\/p>\n<p>(1 x 12 ) + 7 =19<\/p>\n<p>Question 16.<br \/>\nWrite \\(\\frac{9}{6}\\) as a mixed number.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19872 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.2-Homework-Practice-Question-16.jpg\" alt=\"\" width=\"289\" height=\"258\" \/><\/p>\n<h3><a id=\"Lesson_13.3_Identify_Parallel_and_Perpendicular_Lines\"><\/a>Lesson 13.3 Identify Parallel and Perpendicular Lines<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use a straightedge to draw and label a figure for each description. If a figure cannot be drawn, explain why.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13887\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-47.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 47\" width=\"581\" height=\"335\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-47.png 581w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-47-300x173.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-23506\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Explore-Grow.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Explore-Grow\" width=\"521\" height=\"316\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Explore-Grow.jpg 521w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Explore-Grow-300x182.jpg 300w\" sizes=\"(max-width: 521px) 100vw, 521px\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nFind the figure that shows two lines that cross once. How many angles are formed by two lines? Name and classify the angles of the figure above.<br \/>\nAnswer:<br \/>\nFour angles are formed &#8211; \u2220FOJ , \u2220FOH ,\u2220GOJ and \u2220GOH.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19875 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Explore-Grow-Reasoning.jpg\" alt=\"\" width=\"178\" height=\"125\" \/><\/p>\n<p><strong>Think and Grow: Parallel and Perpendicular Lines<\/strong><\/p>\n<p>You can describe a pair of lines as intersecting, parallel, or perpendicular.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13888\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-48.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 48\" width=\"628\" height=\"384\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-48.png 628w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-48-300x183.png 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nDraw and label the lines with the given description.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13889\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-49.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 49\" width=\"244\" height=\"75\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13890\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-50.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 50\" width=\"219\" height=\"174\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19895 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Example.jpg\" alt=\"\" width=\"248\" height=\"230\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Draw and label the lines with the given description.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13891\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-51.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 51\" width=\"287\" height=\"183\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23507 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Show-Grow-Question-1.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Show-Grow-Question-1\" width=\"254\" height=\"156\" \/><\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13892\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-52.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 52\" width=\"319\" height=\"177\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-52.png 319w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-52-300x166.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19902 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-2.jpg\" alt=\"\" width=\"323\" height=\"192\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-2.jpg 323w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-2-300x178.jpg 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Draw and label the lines with the given description.<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13893\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-53.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 53\" width=\"243\" height=\"243\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-53.png 243w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-53-150x150.png 150w\" sizes=\"(max-width: 243px) 100vw, 243px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19905 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Apply-Grow-Question-3.jpg\" alt=\"\" width=\"231\" height=\"199\" \/><\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13894\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-54.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 54\" width=\"242\" height=\"246\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19912 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Apply-Grow-Question-4.jpg\" alt=\"\" width=\"270\" height=\"210\" \/><\/p>\n<p>Use the figure.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13895\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-55.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 55\" width=\"213\" height=\"194\" \/><\/p>\n<p>Question 5.<br \/>\nName a pair of lines that appear to be parallel.<br \/>\nAnswer:<br \/>\nAC ll DF.<\/p>\n<p>Question 6.<br \/>\nName two lines that are perpendicular.<br \/>\nAnswer:<br \/>\nBE <b>\u22a5\u00a0<\/b>DF and DE <b>\u22a5\u00a0<\/b>EB.<\/p>\n<p>Question 7.<br \/>\nName two intersecting lines.<br \/>\nAnswer:<br \/>\nDE and EB<br \/>\nCB and BE<\/p>\n<p>Question 8.<br \/>\n<strong>Reasoning<\/strong><br \/>\nAll perpendicular lines are also intersecting lines. Are all intersecting lines perpendicular? Explain.<br \/>\nAnswer:<br \/>\nPerpendicular Lines means which bisect the lines at right angles .But where as the intersecting lines meet at one point but doesnot form right angles.<\/p>\n<p>Question 9.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13896\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-56.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 56\" width=\"217\" height=\"182\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nWhich street appears to be parallel to 2nd Street?<br \/>\nLook for a street that will not intersect with 2nd street.<br \/>\n___ Street appears to be parallel to 2nd Street.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13897\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-57.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 57\" width=\"328\" height=\"259\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-57.png 328w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-57-300x237.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><br \/>\nAnswer:<br \/>\n3rd street.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 10.<br \/>\nWhich trail appears to be parallel to Fox Trail?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13898\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-58.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 58\" width=\"346\" height=\"206\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-58.png 346w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-58-300x179.png 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><br \/>\nAnswer:<br \/>\nWolf Run Trail<\/p>\n<p>Question 11.<br \/>\nWhich trail appears to be perpendicular to Fox Trail?<br \/>\nAnswer:<br \/>\nOak Trail.<\/p>\n<p>Question 12.<br \/>\nTrace and label a pair of line segments that appear to be parallel and a pair of line segments that appear to be perpendicular.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13900\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-60.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 60\" width=\"260\" height=\"167\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19920 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-12.jpg\" alt=\"\" width=\"260\" height=\"287\" \/><\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nDesign three paths for a park. Two of the paths are perpendicular. Label these paths as Path 1 and Path 2. The third path intersects both perpendicular paths at exactly one point. Label this path as Path 3.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19923 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-13.jpg\" alt=\"\" width=\"356\" height=\"200\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-13.jpg 356w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Show-Grow-Question-13-300x169.jpg 300w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/p>\n<h3><a id=\"Identify_Parallel_and_Perpendicular_Lines_Homework_&amp;_Practice_13.3\"><\/a>Identify Parallel and Perpendicular Lines Homework &amp; Practice 13.3<\/h3>\n<p><strong>Example<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13899\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-60.1.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 60.1\" width=\"452\" height=\"255\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-60.1.png 452w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-60.1-300x169.png 300w\" sizes=\"(max-width: 452px) 100vw, 452px\" \/><\/p>\n<p>Draw and label the lines with the given description.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13901\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-61.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 61\" width=\"239\" height=\"240\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-61.png 239w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-61-150x150.png 150w\" sizes=\"(max-width: 239px) 100vw, 239px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19927 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Practice-Question-1.jpg\" alt=\"\" width=\"211\" height=\"168\" \/><\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13902\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-62.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 62\" width=\"224\" height=\"241\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23508 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Practice-Homework-Question-2.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13- Identify-Draw-Lines-Angles-13.3-Identify-Parallel-Perpendicular-Lines-Practice-Homework-Question-2\" width=\"196\" height=\"175\" \/><\/p>\n<p>Use the figure.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13904\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-63.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 63\" width=\"273\" height=\"216\" \/><\/p>\n<p>Question 3.<br \/>\nName a pair of lines that appear to be parallel.<br \/>\nAnswer:<br \/>\nAG ll CJ<\/p>\n<p>Question 4.<br \/>\nName two lines that are perpendicular.<br \/>\nAnswer:<br \/>\nBE \u22a5 DF<br \/>\nHE <strong>\u22a5 <\/strong>DF<\/p>\n<p>Question 5.<br \/>\nName two intersecting lines.<br \/>\nAnswer:<br \/>\nCJ and DF .<\/p>\n<p>Question 6.<br \/>\n<strong>Structure<\/strong><br \/>\nName two line segments that appear to be parallel. Then name two line segments that appear to be perpendicular.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13903\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-63.1.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 63.1\" width=\"184\" height=\"116\" \/><br \/>\nAnswer:<br \/>\nAB ll DC and AD<strong>\u22a5\u00a0<\/strong>DC .<\/p>\n<p>Question 7.<br \/>\n<strong>Reasoning<\/strong><br \/>\nCan two lines that share a point be parallel? Explain.<br \/>\nAnswer:<br \/>\nTwo Lines can be parallel but a point cannot be a parallel.<br \/>\nExplanation:<br \/>\nParallel lines are co planar\u00a0lines\u00a0that\u00a0do\u00a0not intersect. In two dimensions,\u00a0parallel lines have\u00a0the same slope . We\u00a0can\u00a0write the equation of a\u00a0line parallel\u00a0to a given\u00a0line\u00a0if we know a\u00a0point\u00a0on the\u00a0line\u00a0and an equation of the given\u00a0line. y=2x+3 .<\/p>\n<p>Question 8.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13905\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-64.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 64\" width=\"636\" height=\"163\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-64.png 636w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-64-300x77.png 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/>l<br \/>\nAnswer:<br \/>\nNo, It cannot be an acute angle. Because it is a right angle.<br \/>\nExplanation:<br \/>\nAs line SW is perpendicular to line UV and line SW is parallel to line TX then from figure it is clear that line TX will be perpendicular to line UV.<\/p>\n<p>Question 9.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13906\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-65.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 65\" width=\"263\" height=\"177\" \/><br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nWhich street appears to be parallel to Park Avenue?<br \/>\nAnswer:<br \/>\nPeach Street.<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nWhich street appears to be perpendicular to Peach Street?<br \/>\nAnswer:<br \/>\nLake Road<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nTrace and label a pair of line segments that appear to be parallel and a pair of line segments that appear to be perpendicular.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13907\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-66.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 66\" width=\"315\" height=\"178\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-66.png 315w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-66-300x170.png 300w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19936 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Practice-Question-11.jpg\" alt=\"\" width=\"315\" height=\"257\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Practice-Question-11.jpg 315w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Parallel-Perpendicular-Practice-Question-11-300x245.jpg 300w\" sizes=\"(max-width: 315px) 100vw, 315px\" \/><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the equivalent amount of time.<\/p>\n<p>Question 12.<br \/>\n20 min = ___ sec<br \/>\nAnswer:<br \/>\n1min = 60sec<br \/>\n20 mins = 20 x 60<br \/>\n= 1200 sec.<\/p>\n<p>Question 13.<br \/>\n6 yr = ___ wk<br \/>\nAnswer:<br \/>\n1 year = 52 weeks.<br \/>\n6 years = 6 x 52<br \/>\n= 312 weeks<\/p>\n<h3>Lesson 13.4 Understand Degrees<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Find the elapsed time for each set of clocks. Describe, in your own words, the turn that the minute hand makes.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13908\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-67.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 67\" width=\"585\" height=\"382\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-67.png 585w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-67-300x196.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><br \/>\nAnswer:<br \/>\nElapsed\u00a0time\u00a0is the\u00a0time\u00a0or difference between a beginning\u00a0time\u00a0and an ending\u00a0time.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19937 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Understand-Degrees-Explore-Grow.jpg\" alt=\"\" width=\"585\" height=\"382\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Understand-Degrees-Explore-Grow.jpg 585w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Understand-Degrees-Explore-Grow-300x196.jpg 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nExplain how elapsed time shown by an analog clock relates to angles formed in a circle.<br \/>\nAnswer:<br \/>\nOn a clock, we can see different kinds of angles based on its amplitude; void, acute, straight, obtuse, flat angles\u2014even a full angle.<\/p>\n<p><strong>Think and Grow: Degrees<\/strong><\/p>\n<p>Angles are measured in units called degrees. Think of dividing a circle into 360 equal parts. An angle that turns through \\(\\frac{1}{360}\\) of a circle measures 1\u00b0, and is called a\u201cone-degree angle.\u201d A full turn through the entire circle is 360\u00b0.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13909\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-68.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 68\" width=\"200\" height=\"238\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13910\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-69.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 69\" width=\"339\" height=\"98\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-69.png 339w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-69-300x87.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind the measure of the angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13911\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-70.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 70\" width=\"146\" height=\"104\" \/><br \/>\nAn angle that turns \\(\\frac{1}{360}\\) of a circle measures _1__ degrees.<br \/>\nAn angle that turns through \\(\\frac{20}{360}\\) of a circle measures _20__ degrees.<br \/>\nSo, the measure of the angle is _20 degrees__.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind the measure of a right angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13912\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-71.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 71\" width=\"343\" height=\"386\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-71.png 343w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-71-267x300.png 267w\" sizes=\"(max-width: 343px) 100vw, 343px\" \/><br \/>\nAnswer:<br \/>\n22.5 degrees.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the measure of the angle.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13913\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-72.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 72\" width=\"141\" height=\"115\" \/><br \/>\nAnswer:<br \/>\n60 degrees.<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13914\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-73.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 73\" width=\"298\" height=\"120\" \/><\/p>\n<p>Answer:<br \/>\n45 degrees.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the measure of the angle.<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13915\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-74.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 74\" width=\"141\" height=\"128\" \/><br \/>\nAnswer:<br \/>\n85 degrees<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13916\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-75.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 75\" width=\"147\" height=\"127\" \/><br \/>\nAnswer:<br \/>\n120 degrees.<\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13917\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-76.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 76\" width=\"147\" height=\"139\" \/><br \/>\nAnswer:<br \/>\n45 degrees.<\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13918\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-77.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 77\" width=\"125\" height=\"120\" \/><br \/>\nAnswer:<br \/>\n(1\/9) x (&#8212;\/&#8212;) = &#8212;&#8211;\/360<br \/>\n=40 degrees.<\/p>\n<p>Question 7.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13919\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-78.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 78\" width=\"125\" height=\"150\" \/><br \/>\nAnswer:<br \/>\n(1\/2) x (&#8212;\/&#8212;) = &#8212;&#8211;\/360<br \/>\n=180 degrees.<\/p>\n<p>Question 8.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13920\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-79.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 79\" width=\"135\" height=\"114\" \/><br \/>\nAnswer:<br \/>\n(1\/5) x (&#8212;\/&#8212;) = &#8212;&#8211;\/360<br \/>\n=360\/5=72 degrees.<\/p>\n<p>Question 9.<br \/>\nA circle is divided into 8 equal parts. What is the measure of the angle that turns through 2 parts?<br \/>\nAnswer:<br \/>\nNumber of parts =8<br \/>\nTotal sum of angle in circle = 360.<br \/>\nMeasure of 1\/8 part of angle formed = 360\/8 =45 degree.<br \/>\nTherefore measure of angle that turns through 2 parts = 2 x 45 =90 degrees.<\/p>\n<p>Question 10.<br \/>\nA circle is divided into 4 equal parts. What is the measure of the angle that turns through 3 parts?<br \/>\nAnswer:<br \/>\nNumber of parts =4<br \/>\nTotal sum of angle in circle = 360.<br \/>\nMeasure of 1\/4 part of angle formed = 360\/4 =90 degree.<br \/>\nTherefore measure of angle that turns through 3 parts = 3 x 45 =135 degrees.<\/p>\n<p>Classify the angle as right, straight, acute or obtuse.<\/p>\n<p>Question 11.<br \/>\n30\u00b0<br \/>\nAnswer:<br \/>\nAcute angle<br \/>\nAn acute angle lies between 0 degree and 90 degrees, or in other words; an acute angle is one that is less than 90 degrees.<\/p>\n<p>Question 12.<br \/>\n120\u00b0<br \/>\nAnswer:<br \/>\nObtuse angle<br \/>\nIt is the angle which lies between 90 degrees and 180 degrees or in other words; an obtuse angle is greater than 90 degrees and less than 180 degrees.<\/p>\n<p>Question 13.<br \/>\n90\u00b0<br \/>\nAnswer:<br \/>\nRight angle<br \/>\nA right angle is always equal to 90 degrees.<\/p>\n<p>Question 14.<br \/>\n180\u00b0<br \/>\nAnswer:<br \/>\nStraight angle<br \/>\nA straight angle is 180 degrees. It is just a straight angle because the angle between its arms is 180 degrees.<\/p>\n<h3>Reflex Angle<\/h3>\n<p>Question 15.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nBoth circles are divided into sixths. Your friend says the measure of Angle D is greater than the measure of Angle C. Is your friend correct? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13921\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-80.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 80\" width=\"233\" height=\"137\" \/><br \/>\nAnswer:<br \/>\nNo<br \/>\nExplanation:<br \/>\nBoth the angles are divided into 6 equal parts irrespective of size of the circle. Both the angles C and D will be equal. As the sum of the circles is 360 degrees for all circles ,when divided equally the angles will be equal.<\/p>\n<p>Question 16.<br \/>\n<strong>Reasoning<\/strong><br \/>\nDoes each figure show the same angle? If not, which two angles are shown? Explain your reasoning.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13922\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-81.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 81\" width=\"269\" height=\"108\" \/><br \/>\nAnswer:<br \/>\nBoth the Angles are equal.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nSpokes divide the Ferris wheel into 20 equal parts. What is the angle measure of 1 part?<br \/>\nWrite a fraction that represents 1 part.<br \/>\nBecause the Ferris wheel has 20 equal parts,<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13923\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-82.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 82\" width=\"210\" height=\"189\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13924\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-83.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 83\" width=\"594\" height=\"200\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-83.png 594w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-83-300x101.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19942 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Think-Grow-Example.jpg\" alt=\"\" width=\"594\" height=\"257\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Think-Grow-Example.jpg 594w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.4-Think-Grow-Example-300x130.jpg 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 17.<br \/>\nThe game spinner is divided into10 equal parts. What is the angle measure of 1 part?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13925\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-84.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 84\" width=\"136\" height=\"158\" \/><br \/>\nAnswer:<br \/>\nNumber of parts divided=10<br \/>\nTotal sum of angle in circle = 360.<br \/>\nMeasure of 1\/10 part of angle formed = 360\/10 =36 degree.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA circular quesadilla is cut into 8 equal pieces. Five pieces are eaten. What is the angle measure formed by the remaining pieces?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13926\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-85.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 85\" width=\"156\" height=\"142\" \/><br \/>\nAnswer:<br \/>\nTotal Number of parts divided = 8.<br \/>\nTotal sum of angle = 360 degrees.<br \/>\nAngle of each part = 360\/8 degrees = 45 degrees.<br \/>\nNumber of parts eaten = 5<br \/>\nAngle of 5 parts = 5 x 45 degrees = 225 degrees.<br \/>\nAngle formed by remaining parts = 360- 225 degrees =135 degrees<br \/>\nor<br \/>\nNumber of remaining parts =3<br \/>\nAngle of remaining parts = 3 x 45 degrees. = 135 degrees.<\/p>\n<p>Question 19.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhen a light wave hits an object, the object reflects a colored light at an angle to your eye. The color of the reflected light is the color you see. What fraction of a circle is shown by the angle? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13927\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-86.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 86\" width=\"185\" height=\"163\" \/><br \/>\nAnswer:<br \/>\nReflected angle = 30 degrees.<br \/>\nTotal sum of angle = 360 degrees.<br \/>\nFraction angle reflected in circle = 30 \/ 360 degrees = 1 \/12 fraction.<\/p>\n<h3><a id=\"Understand_Degrees_Homework_&amp;_Practice_13.43\"><\/a>Understand Degrees Homework &amp; Practice 13.4<\/h3>\n<p>Find the measure of each angle<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13928\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-87.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 87\" width=\"141\" height=\"116\" \/><br \/>\nAnswer:<br \/>\n50 degrees<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13929\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-88.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 88\" width=\"298\" height=\"126\" \/><br \/>\nAnswer:<br \/>\n(1\/3) x (&#8212;\/&#8212;) = &#8212;&#8211;\/360<br \/>\n= 360\/3 = 120 degrees.<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13930\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-89.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 89\" width=\"127\" height=\"127\" \/><br \/>\nAnswer:<br \/>\n(1\/12) x (&#8212;\/&#8212;) = &#8212;&#8211;\/360<br \/>\n= 360\/12 = 30 degrees.<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13931\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-90.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 90\" width=\"135\" height=\"99\" \/><br \/>\nAnswer:<br \/>\n(1\/10) x (&#8212;\/&#8212;) = &#8212;&#8211;\/360<br \/>\n=360\/10 = 36 degrees.<\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13932\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-91.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 91\" width=\"131\" height=\"128\" \/><br \/>\nAnswer:<br \/>\n(1\/6) x (&#8212;\/&#8212;) = &#8212;&#8211;\/360<br \/>\n= 360\/6 = 60 degrees.<\/p>\n<p>Question 6.<br \/>\nA circle is divided into 5 equal parts. What is the measure of the angle that turns through 2 parts?<br \/>\nAnswer:<br \/>\nNumber of parts =5<br \/>\nTotal sum of angle in circle = 360.<br \/>\nMeasure of 1\/5 part of angle formed = 360\/5 =72 degree.<br \/>\nTherefore measure of angle that turns through 2 parts = 2 x 72 =144 degrees.<\/p>\n<p>Question 7.<br \/>\nA circle is divided into 10 equal parts. What is the measure of the angle that turns through 3 parts?<br \/>\nAnswer:<br \/>\nNumber of parts =10<br \/>\nTotal sum of angle in circle = 360.<br \/>\nMeasure of 1\/10 part of angle formed = 360\/10 =36 degree.<br \/>\nTherefore measure of angle that turns through 3 parts = 3 x 36 =108 degrees.<\/p>\n<p>Classify the angle as right, straight, acute, obtuse<\/p>\n<p>Question 8.<br \/>\n90\u00b0<br \/>\nAnswer:<br \/>\nRight angle<br \/>\nA right angle is always equal to 90 degrees.<\/p>\n<p>Question 9.<br \/>\n45\u00b0<br \/>\nAnswer:<br \/>\nAcute angle<br \/>\nAn acute angle lies between 0 degree and 90 degrees, or in other words; an acute angle is one that is less than 90 degrees.<\/p>\n<p>Question 10.<br \/>\n160\u00b0<br \/>\nAnswer:<br \/>\nObtuse angle<br \/>\nIt is the angle which lies between 90 degrees and 180 degrees or in other words; an obtuse angle is greater than 90 degrees and less than 180 degrees.<\/p>\n<p>Question 11.<br \/>\n60\u00b0<br \/>\nAnswer:<br \/>\nAcute angle<br \/>\nAn acute angle lies between 0 degree and 90 degrees, or in other words; an acute angle is one that is less than 90 degrees.<\/p>\n<p>Question 12.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong> Which angle measure does not belong with the other three?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13933\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-92.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 92\" width=\"270\" height=\"120\" \/><br \/>\nAnswer:<br \/>\n1\/8 of a circle<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour friend uses the equation to find an angle a measure. Explain what the letters a and b represent.<br \/>\n360\u00b0 \u00f7 a = b<br \/>\nAnswer:<br \/>\nWhere a is the Number of parts where circle is divided.<br \/>\nb is the angle of 1 part.<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe steering wheel is divided into 3 equal parts. Find the angle measure of 1 part.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13934\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-93.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 93\" width=\"161\" height=\"160\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-93.png 161w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-93-150x150.png 150w\" sizes=\"(max-width: 161px) 100vw, 161px\" \/><br \/>\nAnswer:<br \/>\nNumber of parts =3<br \/>\nThe total sum of angle in circle = 360.<br \/>\nThe measure of 1\/3 part of the angle formed = 360\/3 =120 degrees.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou and your friend take pie-shaped pieces from a circular quiche. Your friend takes \\(\\frac{2}{8}\\) of the quiche. You take a piece with an angle measure of 72\u00b0. Who takes a larger piece? Explain.<br \/>\nAnswer:<br \/>\nIt Is given that pie taken your friend is 2\/8 So it is clear that quinche is divided into 8 parts.<br \/>\nNumber of parts =8<br \/>\nTotal sum of angle in circle = 360.<br \/>\nMeasure of 1\/8 part of angle formed = 360\/8 =45 degree.<br \/>\nPiece taken by friend is 2\/8 = 2 x 45 = 90 degrees.<br \/>\nPiece taken by you measures 72 degrees.<br \/>\nTherefore Your Friend takes larger piece.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Multiply<\/p>\n<p>Question 16.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13935\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-94.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 94\" width=\"73\" height=\"56\" \/><br \/>\nAnswer:<br \/>\n=7 x (7\/2)<br \/>\n=1\/2 = 0.5<\/p>\n<p>Question 17.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13936\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-95.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 95\" width=\"83\" height=\"52\" \/><br \/>\nAnswer:<br \/>\n= 10 x (53\/6)<br \/>\n=88.33<\/p>\n<p>Question 18.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13937\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-96.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 96\" width=\"73\" height=\"55\" \/><br \/>\nAnswer:<br \/>\n=4 x (51\/8)<br \/>\n=51\/2<br \/>\n=25.5<\/p>\n<h3><a id=\"Lesson_13.5_Find_Angle_Measures\"><\/a>Lesson 13.5 Find Angle Measures<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>How many triangular pattern blocks can you put together around one vertex?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13938\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-97.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 97\" width=\"179\" height=\"121\" \/><br \/>\nAnswer: 2<br \/>\nHow can you determine the measure of each angle in a triangular pattern block?<br \/>\nAnswer:<br \/>\nIf we add all three\u00a0angles\u00a0in any\u00a0triangle\u00a0we get 180 degrees.<br \/>\nSo, the\u00a0measure of (angle\u00a0A +\u00a0angle\u00a0B +\u00a0angle C) = 180 degrees.<\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nFind all of the angle measures of the other pattern blocks. Organize your results in the table.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13939\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-98.png\" alt=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles 98\" width=\"552\" height=\"218\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-98.png 552w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-4-Chapter-13-Identify-and-Draw-Lines-and-Angles-98-300x118.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20579 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Explore-Grow-Reasoning.jpg\" alt=\"\" width=\"552\" height=\"218\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Explore-Grow-Reasoning.jpg 552w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Explore-Grow-Reasoning-300x118.jpg 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p><strong>Think and Grow: Find Angle Measures<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse the pattern block to find the measure of the angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13763\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-99.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 99\" width=\"256\" height=\"134\" \/><br \/>\nEach angle of the pattern block has a measure of _60__.<br \/>\nThe angle is equal to _60 degrees__ of the angles of the pattern block.<br \/>\nSo, the measure of the angle is __60 degrees_.<\/p>\n<p><strong>Example<\/strong><br \/>\nUse the pattern block to find the measure of the angle.<br \/>\nEach acute angle of the pattern block has a measure of _30__.<br \/>\nThe angle is equal to _30__ of the acute angles of the pattern block.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13764\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-100.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 100\" width=\"352\" height=\"142\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-100.png 352w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-100-300x121.png 300w\" sizes=\"(max-width: 352px) 100vw, 352px\" \/><br \/>\nSo, the measure of the angle is _150 degrees__.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Use pattern blocks to find the measure of the angle.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13765\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-101.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 101\" width=\"204\" height=\"118\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20580 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-1.jpg\" alt=\"\" width=\"207\" height=\"213\" \/><\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13766\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-102.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 102\" width=\"166\" height=\"138\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20581 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-2.jpg\" alt=\"\" width=\"193\" height=\"165\" \/><\/p>\n<p>Question 3.<br \/>\nUse pattern blocks to find how many 60\u00b0 angles are in a straight angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13767\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-103.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 103\" width=\"258\" height=\"58\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19943 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Show-Grow-Question-4.jpg\" alt=\"\" width=\"498\" height=\"221\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Show-Grow-Question-4.jpg 498w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Show-Grow-Question-4-300x133.jpg 300w\" sizes=\"(max-width: 498px) 100vw, 498px\" \/><br \/>\nTotal 3 triangles are used.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Use pattern blocks to find the measure of the angle.<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13768\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-104.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 104\" width=\"196\" height=\"78\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20582 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-4.jpg\" alt=\"\" width=\"221\" height=\"102\" \/><\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13769\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-105.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 105\" width=\"107\" height=\"101\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20584 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-5.jpg\" alt=\"\" width=\"147\" height=\"144\" \/><\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13770\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-106.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 106\" width=\"165\" height=\"91\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20585 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-6.jpg\" alt=\"\" width=\"178\" height=\"159\" \/><\/p>\n<p>Question 7.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13771\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-107.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 107\" width=\"113\" height=\"150\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20586 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-7.jpg\" alt=\"\" width=\"130\" height=\"152\" \/><\/p>\n<p>Question 8.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13772\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-108.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 108\" width=\"122\" height=\"108\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20587 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-8.jpg\" alt=\"\" width=\"125\" height=\"114\" \/><\/p>\n<p>Question 9.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13773\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-109.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 109\" width=\"187\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20588 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Show-Grow-Question-9-2i.jpg\" alt=\"\" width=\"183\" height=\"83\" \/><\/p>\n<p>Question 10.<br \/>\nHow many 90\u00b0 angles are in a straight angle? Explain.<br \/>\nAnswer: 2<br \/>\nA straight has 180 degree as its sum of angle.<br \/>\nOne right angle = 90 degrees.<br \/>\n=90 x2 =180.<br \/>\nSo if we have 2 right angles the its sum will be equal to 180 degrees.<\/p>\n<p>Question 11.<br \/>\nHow many 30\u00b0 angles are in a 150\u00b0 angle? Explain.<br \/>\nAnswer:<br \/>\n=150\/30=5 times.<\/p>\n<p>Question 12.<br \/>\n<strong>Structure<\/strong><br \/>\nUse two different pattern blocks to form an obtuse angle. Find the angle measure. Draw a model to support your Answer.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the measure of the smaller angle formed by the clock hands. Then explain how you could find the measure of the larger angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13774\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-110.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 110\" width=\"134\" height=\"116\" \/><br \/>\nAnswer:<br \/>\nThe angle formed at 3 clock = 90\u00b0.<br \/>\nThe sum of angles=360\u00b0<br \/>\nThe larger angle = 360\u00b0 &#8211; 90\u00b0=270\u00b0<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20405 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-13.jpg\" alt=\"\" width=\"633\" height=\"435\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-13.jpg 633w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-13-300x206.jpg 300w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA circular compass is divided into 8 equal sections. What is the measure of each angle formed at the center of the compass?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13775\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-111.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 111\" width=\"158\" height=\"189\" \/><br \/>\nA full turn through a circle is 360\u00b0. So, divide 360\u00b0 by 8.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13776\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-112.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 112\" width=\"66\" height=\"50\" \/><br \/>\nEach angle formed at the center of the compass is __45\u00b0_.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nYou have a circular craft table. You divide the table into 3 equal sections. What is the measure of each angle formed at the center of the table?<br \/>\nAnswer:<br \/>\nNumber of sections =3<br \/>\nThe total sum of angle in circle = 360\u00b0.<br \/>\nThe measure of 1\/3 part of the angle formed at the center of the table = 360\u00b0\/3 =120\u00b0<\/p>\n<p>Question 15.<br \/>\nA chef has a wheel of cheese that is cut into6 equal pieces. The chef uses 2 pieces. What is the angle measure formed by the missing pieces?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13777\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-113.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 113\" width=\"122\" height=\"118\" \/><br \/>\nAnswer:<br \/>\nNumber of parts =6<br \/>\nTotal sum of angle in circle = 360\u00b0.<br \/>\nMeasure of 1\/6 part of angle formed= 360\u00b0\/6 =60\u00b0<br \/>\nChef uses 2 peices<br \/>\nAngle formed by used peices = 2 x 60\u00b0 =120\u00b0<br \/>\nTherefore, the angle measure formed by the missing pieces = 120\u00b0<\/p>\n<p>Question 16.What is the angle measure formed by the remaining slices?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13778\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-114.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 114\" width=\"121\" height=\"118\" \/><\/p>\n<p>Answer:<br \/>\nNumber of parts =5<br \/>\nTotal sum of angle in circle = 360\u00b0.<br \/>\nMeasure of 1\/5 part of angle formed= 360\u00b0\/5 =72\u00b0<br \/>\nused peices = 2<br \/>\nAngle formed by Remaining peices = 3 x 72\u00b0 =216\u00b0<br \/>\nTherefore, the angle measure formed by the remaining pieces = 216\u00b0<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou make a tile pattern for a border on a wall. Each tile is the same size and shape as a pattern block. Draw two ways you can arrange 1 triangle tile and 1 hexagon tile to create a straight angle.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20407 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-17-figure1.jpg\" alt=\"\" width=\"522\" height=\"226\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-17-figure1.jpg 522w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-17-figure1-300x130.jpg 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20419 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-3.jpg\" alt=\"\" width=\"269\" height=\"114\" \/><br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20408 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-17-figure2.jpg\" alt=\"\" width=\"497\" height=\"199\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-17-figure2.jpg 497w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Angles-Measure-Question-17-figure2-300x120.jpg 300w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/p>\n<h3><a id=\"Find_Angle_Measures_Homework_&amp;_Practice_13.5\"><\/a>Find Angle Measures Homework &amp; Practice 13.5<\/h3>\n<p>Use pattern blocks to find the measure of the angle.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13779\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-115.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 115\" width=\"117\" height=\"108\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20409 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-1.jpg\" alt=\"\" width=\"300\" height=\"247\" \/><\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13780\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-116.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 116\" width=\"176\" height=\"77\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20413 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-2.jpg\" alt=\"\" width=\"313\" height=\"152\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-2.jpg 313w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-2-300x146.jpg 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13781\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-117.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 117\" width=\"193\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20419 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-3.jpg\" alt=\"\" width=\"269\" height=\"114\" \/><\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13782\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-118.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 118\" width=\"122\" height=\"123\" \/><\/p>\n<p>Answer:<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20420 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-4.jpg\" alt=\"\" width=\"273\" height=\"197\" \/><\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13783\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-119.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 119\" width=\"101\" height=\"94\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20423 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-5.jpg\" alt=\"\" width=\"282\" height=\"234\" \/><\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13784\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-120.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 120\" width=\"122\" height=\"119\" \/><br \/>\nAnswer: The angle formed is 80\u00b0. It cannot be represented by pattern blocks.<\/p>\n<p>Question 7.<br \/>\nHow many 30\u00b0 angles are in a right angle? Explain.<br \/>\nAnswer:<br \/>\nRight angle =90\u00b0<br \/>\nHow many 30\u00b0 angles we have in right angle = 90\u00b0\/30\u00b0=3<\/p>\n<p>Question 8.<br \/>\n<strong>Structure<\/strong><br \/>\nDraw to show how you can use three different pattern blocks to form a straight angle.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20426 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-8-1.jpg\" alt=\"\" width=\"500\" height=\"201\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-8-1.jpg 500w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-8-1-300x121.jpg 300w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/><\/p>\n<p>Question 9.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says the measure of the angle shown is 120\u00b0. Is your friend correct? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13785\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-121.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 121\" width=\"188\" height=\"84\" \/><br \/>\nAnswer:<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20429 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-9.jpg\" alt=\"\" width=\"494\" height=\"283\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-9.jpg 494w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-9-300x172.jpg 300w\" sizes=\"(max-width: 494px) 100vw, 494px\" \/><br \/>\nNo, As the angle is 130\u00b0.<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe hands of a clock form a straight angle. What time could it be? Explain.<br \/>\nAnswer:<br \/>\nThe time as per mage is 6 o clock.<br \/>\nExplanation:<\/p>\n<ul>\n<li>One hand is very thin and moves very fast. It&#8217;s called the seconds hand. Every time it moves, a second has gone by.<\/li>\n<li>Another hand is thick and long like the seconds hand. It&#8217;s called the minutes hand. Every time it moves one little tick, a minute has gone by. Every 60 times it moves a whole step, an hour has gone by.<\/li>\n<li>The last hand is thick, too, but smaller than the minutes hand. It&#8217;s called the hours hand. Every time it moves one big tick, an hour has gone by. Every 24 times it moves a whole step, a day has gone by<\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20438 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Practice-Question-10.jpg\" alt=\"\" width=\"227\" height=\"222\" \/><\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe scale is divided into 5 equal sections by each whole kilogram measurement. What is the measure of each angle formed at the center of the scale? What is the mass of the bananas?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13786\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-122.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 122\" width=\"127\" height=\"184\" \/><br \/>\nAnswer:<br \/>\nThe whole Kilogram is divided into 5 parts<br \/>\n1kg = 1000 grams<br \/>\n=1000 grams \/ 5<br \/>\n=200 grams.<br \/>\nAs per the image the weight of banans showing mark on one.<br \/>\none unit = 200 grams.<br \/>\nTherefor, weight of bananas = 200 grams.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe gasoline tank gauge is divided into 4 equal sections. What are the measures of the angles formed at the starting point of the red arrow?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13787\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-123.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 123\" width=\"262\" height=\"151\" \/><br \/>\nAnswer:<br \/>\nThe gasoline is in a shape of semi circle.<br \/>\nSum of the angles = 180\u00b0<br \/>\nNumber of sections divided = 4 parts. (equal).<br \/>\nAngle of each section : 180\u00b0 \/4 = 45\u00b0 .<br \/>\nTherefore the measures of the angles formed at the starting point of the red arrow = 45\u00b0 .<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the area of the rectangle.<\/p>\n<p>Question 13.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13788\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-124.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 124\" width=\"146\" height=\"118\" \/><br \/>\nAnswer:<br \/>\nArea of Rectangle = length X breadth.<br \/>\nAREA = 19 m x 16 m = 304 sq m.<\/p>\n<p>Question 14.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13789\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-125.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 125\" width=\"119\" height=\"123\" \/><br \/>\nAnswer:<br \/>\nArea of Rectangle = length X breadth.<br \/>\nAREA = 28 in x 15 in =420 sq in.<\/p>\n<h3><a id=\"Lesson_13.6_Measure_and_Draw_Angles\"><\/a>Lesson 13.6 Measure and Draw Angles<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Find the measure of each angle. Then classify it.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13790\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-126.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 126\" width=\"615\" height=\"395\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-126.png 615w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-126-300x193.png 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19945 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Explore-Grow.jpg\" alt=\"\" width=\"602\" height=\"386\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Explore-Grow.jpg 602w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Explore-Grow-300x192.jpg 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nDoes the angle shown have a measure of 90\u00b0? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13791\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-127.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 127\" width=\"173\" height=\"160\" \/><br \/>\nAnswer:<br \/>\nThe intersecting line form right angle =90 degrees<br \/>\nThe angle marked = ?<br \/>\nThe total angle = 360 degrees.<br \/>\nThe marked angle= 360 &#8211; 90 = 270 degrees.<\/p>\n<p><strong>Think and Grow: Measure and Draw Angles<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA protractor is a tool for measuring and drawing angles.<\/p>\n<p>Find the measure of \u2220STU. Then classify it.<br \/>\n<strong>Step 1:<\/strong> Place the center of the protractor on the vertex of the angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13792\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-128.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 128\" width=\"338\" height=\"199\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-128.png 338w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-128-300x177.png 300w\" sizes=\"(max-width: 338px) 100vw, 338px\" \/><br \/>\n<strong>Step 2:<\/strong> Align one side of the angle, \\(\\overrightarrow{T U}\\), with 0\u00b0 mark on the inner scale of the protractor.<br \/>\n<strong>Step 3:<\/strong> Find where the other side of the angle, \\(\\overrightarrow{T S}\\), passes through the inner scale.<br \/>\nSo, the measure of \u2220STU is ___. It is an ___ angle.<\/p>\n<p><strong>Example<\/strong><br \/>\nDraw \u2220ABC that measures 65\u00b0.<br \/>\n<strong>Step 1:<\/strong> Place the center of the protractor on point. Align \\(\\overrightarrow{B C}\\) with the 0\u00b0 mark on the inner scale of the protractor.<br \/>\n<strong>Step 2:<\/strong> Use the same scale to draw a point at 65\u00b0. Label the point A.<br \/>\n<strong>Step 3:<\/strong> Use the protractor to draw \\(\\overrightarrow{B A}\\).<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13793\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-129.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 129\" width=\"360\" height=\"240\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-129.png 360w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-129-300x200.png 300w\" sizes=\"(max-width: 360px) 100vw, 360px\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19946 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Think-Grow-Example.jpg\" alt=\"\" width=\"689\" height=\"470\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Think-Grow-Example.jpg 689w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Think-Grow-Example-300x205.jpg 300w\" sizes=\"(max-width: 689px) 100vw, 689px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nFind the measure of \u2220DEF. Then classify it.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13794\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-130.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 130\" width=\"190\" height=\"161\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19947 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Show-Grow-Question-1.jpg\" alt=\"\" width=\"435\" height=\"261\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Show-Grow-Question-1.jpg 435w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Show-Grow-Question-1-300x180.jpg 300w\" sizes=\"(max-width: 435px) 100vw, 435px\" \/><\/p>\n<p>Question 2.<br \/>\nUse a protractor to draw \u2220XYZ that measures 110\u00b0.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13795\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-131.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 131\" width=\"185\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19948 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Show-Grow-Question-2.jpg\" alt=\"\" width=\"351\" height=\"299\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Show-Grow-Question-2.jpg 351w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Show-Grow-Question-2-300x256.jpg 300w\" sizes=\"(max-width: 351px) 100vw, 351px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the measure of the angle. Then classify it.<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13796\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-132.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 132\" width=\"185\" height=\"195\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19949 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-3.jpg\" alt=\"\" width=\"602\" height=\"326\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-3.jpg 602w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-3-300x162.jpg 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13797\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-133.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 133\" width=\"259\" height=\"192\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19951 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-4.jpg\" alt=\"\" width=\"364\" height=\"302\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-4.jpg 364w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-4-300x249.jpg 300w\" sizes=\"(max-width: 364px) 100vw, 364px\" \/><\/p>\n<p>Use a protractor to draw the angle.<\/p>\n<p>Question 5.<br \/>\n25\u00b0<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19952 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-5.jpg\" alt=\"\" width=\"477\" height=\"262\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-5.jpg 477w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-5-300x165.jpg 300w\" sizes=\"(max-width: 477px) 100vw, 477px\" \/><\/p>\n<p>Question 6.<br \/>\n160\u00b0<\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19953 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-6.jpg\" alt=\"\" width=\"504\" height=\"237\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-6.jpg 504w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-6-300x141.jpg 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><\/p>\n<p>Question 7.<br \/>\n180\u00b0<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19954 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-7.jpg\" alt=\"\" width=\"542\" height=\"291\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-7.jpg 542w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-7-300x161.jpg 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/p>\n<p>Question 8.<br \/>\n48\u00b0<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19955 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-8.jpg\" alt=\"\" width=\"416\" height=\"282\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-8.jpg 416w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Apply-Grow-Question-8-300x203.jpg 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><\/p>\n<p>Question 9.<br \/>\n<strong>Writing<\/strong><br \/>\nWhy does one side of the angle you are measuring have to be lined up with the straight side of the protractor?<br \/>\nAnswer:<br \/>\nWe see two sets of degrees along the edge: an inner and outer scale. Both scales go from 0 to 180, but they run in opposite directions. If the angle opens to the right side of the protractor,\u00a0use\u00a0the inner scale. If the angle opens to the left of the\u00a0protractor,\u00a0use\u00a0the outer scale.<br \/>\nTo mark 0\u00b0 on the inner scale of the protractor. So that we can next mark the angle we want to measure.<\/p>\n<p>Question 10.<br \/>\n<strong>Precision<\/strong><br \/>\nNewton says the measure of \u2220ABC is 130\u00b0. Explain what he did wrong.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13798\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-134.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 134\" width=\"328\" height=\"149\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-134.png 328w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-134-300x136.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/p>\n<p>Answer:<br \/>\nThe \u2220ABC is 50 degrees not 130 degrees .<br \/>\nTo measure an angle ABC, we place the mid point of the protractor on the vertex B of the angle. The base AB arm falls along with the base line of the protractor as shown in the figure above<br \/>\nThe angle is measured on the protractor counting from 0 up to the point where the arm BC lies. In the above figure \u2220ABC = 50\u00b0.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA contractor builds two roofs. How much greater is the angle measure of Roof A than the angle measure of Roof B?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13799\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-135.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 135\" width=\"443\" height=\"156\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-135.png 443w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-135-300x106.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><br \/>\nUse a protractor to measure the angle of each roof.<br \/>\nThe angle measure of Roof A is _50\u00b0_ and the angle measure of Roof B is _40\u00b0__.<br \/>\nSubtract the angle measure of Roof B from the angle measure of Roof A.<br \/>\n_50\u00b0__ \u2212 _40\u00b0__ = _10\u00b0__<br \/>\nThe angle measure of Roof A is _10\u00b0__ greater than the angle measure of Roof B.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19957 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Think-Grow-Example2.jpg\" alt=\"\" width=\"777\" height=\"523\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Think-Grow-Example2.jpg 777w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Think-Grow-Example2-300x202.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Think-Grow-Example2-768x517.jpg 768w\" sizes=\"(max-width: 777px) 100vw, 777px\" \/><\/p>\n<p><strong>Show and Grow0<\/strong><\/p>\n<p>Question 11.<br \/>\nAn inspector compares two ramps. How much greater is the angle measure of Ramp B than the angle measure of Ramp A?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13800\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-136.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 136\" width=\"459\" height=\"131\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-136.png 459w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-136-300x86.png 300w\" sizes=\"(max-width: 459px) 100vw, 459px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19960 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Grow-Show-Question-11.jpg\" alt=\"\" width=\"703\" height=\"338\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Grow-Show-Question-11.jpg 703w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Grow-Show-Question-11-300x144.jpg 300w\" sizes=\"(max-width: 703px) 100vw, 703px\" \/><br \/>\nRamp A angle is 10 degrees and Ramp B angle is 20 degrees<br \/>\nRamp B angle is 10 degrees greater.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nOn a trail map, two straight trails intersect. One of the angles formed by the intersection is 70. What are the other three angle measures?<br \/>\nAnswer:<br \/>\nA trail is formed with 4 angles.<br \/>\nSum of the angles in trial = 360\u00b0.<br \/>\nif one angle =70\u00b0<br \/>\nSum of other 3 angles = 360\u00b0 &#8211; 70\u00b0 = 290 \u00b0.<\/p>\n<h3><a id=\"Measure_and_Draw_Angles_Homework_&amp;_Practice_13.6\"><\/a>Measure and Draw Angles Homework &amp; Practice 13.6<\/h3>\n<p>Find the measure of the angle. Then classify it.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13801\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-137.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 137\" width=\"190\" height=\"224\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-19961 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Practice-Question-1.jpg\" alt=\"\" width=\"333\" height=\"333\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Practice-Question-1.jpg 333w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Practice-Question-1-300x300.jpg 300w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-\u2013Draw-Angles-Practice-Question-1-150x150.jpg 150w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13802\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-138.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 138\" width=\"200\" height=\"78\" \/><\/p>\n<p>Answer:<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20443 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-2.jpg\" alt=\"\" width=\"505\" height=\"236\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-2.jpg 505w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-2-300x140.jpg 300w\" sizes=\"(max-width: 505px) 100vw, 505px\" \/><\/p>\n<p>Use a protractor to draw the angle.<\/p>\n<p>Question 3.<br \/>\n40\u00b0<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20444 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-3.jpg\" alt=\"\" width=\"384\" height=\"235\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-3.jpg 384w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-3-300x184.jpg 300w\" sizes=\"(max-width: 384px) 100vw, 384px\" \/><\/p>\n<p>Question 4.<br \/>\n125\u00b0<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20445 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-4.jpg\" alt=\"\" width=\"400\" height=\"236\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-4.jpg 400w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-4-300x177.jpg 300w\" sizes=\"(max-width: 400px) 100vw, 400px\" \/><\/p>\n<p>Question 5.<br \/>\n<strong>Reasoning<\/strong><br \/>\nMeasure the angles of each quadrilateral. What do you notice about the sum of the angle measures of each quadrilateral?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13803\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-139.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 139\" width=\"567\" height=\"187\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-139.png 567w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-139-300x99.png 300w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><br \/>\nAnswer:<br \/>\nThe angles of the square are 90\u00b0 each .<br \/>\nThe angles of Quadilateral are two angles are 90\u00b0.<br \/>\nAnd other angles are 50\u00b0.<br \/>\nFor every quadrilateral, the\u00a0sum\u00a0of the interior\u00a0angles will\u00a0always be 360\u00b0.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20448 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-5.jpg\" alt=\"\" width=\"466\" height=\"193\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-5.jpg 466w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-5-300x124.jpg 300w\" sizes=\"(max-width: 466px) 100vw, 466px\" \/><\/p>\n<p>Question 6.<br \/>\n<strong>Precision<\/strong><br \/>\nUse a protractor to draw a triangle with the angle measures of 0\u00b0. Describe your drawing.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20452 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-6.jpg\" alt=\"\" width=\"417\" height=\"226\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-6.jpg 417w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-6-300x163.jpg 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/><\/p>\n<p>Question 7.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nUse a protractor to draw a triangle with the angle measures of 90\u00b0, 35\u00b0, and 55\u00b0.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20454 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-7.jpg\" alt=\"\" width=\"542\" height=\"300\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-7.jpg 542w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-7-300x166.jpg 300w\" sizes=\"(max-width: 542px) 100vw, 542px\" \/><\/p>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA snowboarder compares 2 mountain trails. How much greater is the angle measure of Trail B than the angle measure of Trail A?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13804\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-140.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 140\" width=\"328\" height=\"120\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-140.png 328w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-140-300x110.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/p>\n<p>Answer:<br \/>\nThe angle is 5\u00b0 greater.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20458 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-8.jpg\" alt=\"\" width=\"544\" height=\"196\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-8.jpg 544w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-8-300x108.jpg 300w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nOn a map, there is a Y-intersection where one straight road branches off into two straight roads. One of the angles formed by the intersection measures 45\u00b0. Give two possible measures for the other angles formed by the intersection.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20462 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-9.jpg\" alt=\"\" width=\"407\" height=\"418\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-9.jpg 407w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measure-Draw-Angle-Practice-Question-9-292x300.jpg 292w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the equivalent length<\/p>\n<p>Question 10.<br \/>\n5 km = ___ m.<br \/>\nAnswer:<br \/>\n1km = 1000m<br \/>\n5 km = 5 x 1000 m = 5000m<\/p>\n<p>Question 11.<br \/>\n7 m = ___ mm.<br \/>\nAnswer:<br \/>\n1m = 1000mm<br \/>\n7 m = 7 x 1000 mm = 7000mm<\/p>\n<h3><a id=\"Lesson_13.7_Add_Angle_Measures\"><\/a>Lesson 13.7 Add Angle Measures<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use a protractor to draw \u2220PQR that measures 70\u00b0.<br \/>\nDraw another angle that measures 30\u00b0 and shares side \\(\\overrightarrow{\\mathrm{Q} R}\\). Label your angle. How many angles are in your figure? What do you notice about their measures?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13805\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-141.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 141\" width=\"289\" height=\"60\" \/><br \/>\nMake a copy of \u2220PQR. Draw and label a different angle that measures 30\u00b0 and shares \\(\\overrightarrow{\\mathrm{Q} R}\\). How many angles are in your figure? What do you notice about their measures?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20464 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Explore-Grow.jpg\" alt=\"\" width=\"551\" height=\"340\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Explore-Grow.jpg 551w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Explore-Grow-300x185.jpg 300w\" sizes=\"(max-width: 551px) 100vw, 551px\" \/><\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nWhat conclusions can you make from your figures above?<br \/>\nAnswer:<br \/>\nThe Above triangle formed is a scalene triangle- has no equal side.<\/p>\n<p><strong>Think and Grow: Add Angle Measures<\/strong><\/p>\n<p>When an angle is decomposed into parts that do not overlap, the angle measure of the whole equals the sum of the angle measures of the parts.<br \/>\nTwo angles are adjacent when they share a common side and a common vertex, but no other points in common. When two or more adjacent angles form a larger angle, the sum of the measures of the smaller angles is equal to the measure of the larger angle.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13806\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-142.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 142\" width=\"619\" height=\"245\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-142.png 619w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-142-300x119.png 300w\" sizes=\"(max-width: 619px) 100vw, 619px\" \/><br \/>\n<strong>Example<\/strong><br \/>\nFind the measure of \u2220WXY.<br \/>\n\u2220WXY and \u2220ZXY are adjacent. The measure of \u2220WXZ is equal to the sum of the measures of and \u2220ZXY. Complete the equation.<br \/>\n_41\u00b0__ + __32\u00b0_ = _73\u00b0__<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13807\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-143.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 143\" width=\"162\" height=\"157\" \/><br \/>\nSo, the measure of \u2220WXY is _73\u00b0__.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nComplete the equation to find the \u2220PQR.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13808\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-144.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 144\" width=\"225\" height=\"227\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-144.png 225w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-144-150x150.png 150w\" sizes=\"(max-width: 225px) 100vw, 225px\" \/><\/p>\n<p>Answer:<br \/>\n\u2220PQR = \u2220PQS +\u2220SQR<br \/>\n= 43\u00b0 + 77\u00b0 =120\u00b0<\/p>\n<p>Question 2.<br \/>\nUse a protractor to find the measure of each angle in the circle. Use the angle measures to complete the equation.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13809\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-145.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 145\" width=\"273\" height=\"216\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20465 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Show-Grow-Question-2.jpg\" alt=\"\" width=\"297\" height=\"352\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Show-Grow-Question-2.jpg 297w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Show-Grow-Question-2-253x300.jpg 253w\" sizes=\"(max-width: 297px) 100vw, 297px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Write an equation to find the measure of the angle.<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13810\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-146.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 146\" width=\"275\" height=\"158\" \/><br \/>\nAnswer:<br \/>\n\u2220QRS= \u2220QRT +\u2220TRS<br \/>\n= 62\u00b0 + 19\u00b0 =81\u00b0<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13811\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-147.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 147\" width=\"269\" height=\"153\" \/><\/p>\n<p>Answer:<br \/>\n\u2220ABC = \u2220ABD +\u2220DBC<br \/>\n= 66\u00b0 + 37\u00b0 =103\u00b0<\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13812\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-148.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 148\" width=\"285\" height=\"143\" \/><\/p>\n<p>Answer:<br \/>\n\u2220MNO = \u2220MNQ +\u2220QNP +\u2220PNO<br \/>\n= 45\u00b0 + 87\u00b0 +22\u00b0<br \/>\n=154\u00b0 .<\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13813\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-149.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 149\" width=\"243\" height=\"142\" \/><\/p>\n<p>\u2220VWX = \u2220VWZ +\u2220ZWY +\u2220YWX<br \/>\n= 36\u00b0 + 38\u00b0 +73\u00b0<br \/>\n=147\u00b0 .<\/p>\n<p>Use a protractor to find the measure of each angle in the circle. Use the angle measures to write an equation.<\/p>\n<p>Question 7.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13814\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-150.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 150\" width=\"193\" height=\"175\" \/><br \/>\nAnswer:<br \/>\n\u2220M= \u2220LMO +\u2220OMN +\u2220LMN<br \/>\n= 100\u00b0 + 80\u00b0 +180\u00b0<br \/>\n=360\u00b0<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20466 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Show-Grow-Question-7.jpg\" alt=\"\" width=\"267\" height=\"235\" \/>\u00b0 .<\/p>\n<p>Question 8.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13815\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-151.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 151\" width=\"184\" height=\"194\" \/><\/p>\n<p>Answer:<br \/>\n\u2220W= \u2220SWT +\u2220TWU +\u2220UWV +\u2220VWS<br \/>\n= 120\u00b0 + 60\u00b0 + 90\u00b0 + 90\u00b0<br \/>\n=360\u00b0<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20468 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Show-Grow-Question-8.jpg\" alt=\"\" width=\"320\" height=\"244\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Show-Grow-Question-8.jpg 320w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measure-Show-Grow-Question-8-300x229.jpg 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><\/p>\n<p>Question 9.<br \/>\n<strong>Number Sense<\/strong><br \/>\nThe sum of seven adjacent angle measures that share a vertex is 154\u00b0. Each angle has the same measure. What is the measure of each angle?<br \/>\nAnswer:<br \/>\nThe sum of seven equal angles = 154\u00b0.<br \/>\nMeasure of each angle = 154\u00b0\/7 = 22\u00b0.<\/p>\n<p>Question 10<\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\n\u2220PRS is adjacent to \u2220QRS in Exercise 3. The measure of \u2220PRS is 9\u00b0. Find the measure of \u2220QRP. Classify angle \u2220QRP.<br \/>\nAnswer:<br \/>\n\u2220QRP = 9\u00b0<br \/>\nTwo angles are adjacent when they share a common side and a common vertex, but no other points in common. When two or more adjacent angles form a larger angle, the sum of the measures of the smaller angles is equal to the measure of the larger angle.<\/p>\n<p><strong>Think and Grow : Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA store installs 3 security cameras on the same light post. Each camera has a viewing angle of 28\u00b0. The viewing angles of the cameras are adjacent. What is the total viewing angle of the cameras?<br \/>\nAdd the viewing angle measures of the cameras.<br \/>\n28\u00b0 + 28\u00b0 + 28\u00b0 = _84\u00b0__<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13817\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-152.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 152\" width=\"191\" height=\"164\" \/><br \/>\nThe total viewing angle of the cameras is __84\u00b0_<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 11.<br \/>\nA landscaper installs 3 sprinklers in 1 location in the grass. Each sprinkler has a spraying angle of 90\u00b0. The spraying angles of the sprinklers are adjacent. What is the total spraying angle of the sprinklers?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13816\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-152.1.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 152.1\" width=\"251\" height=\"218\" \/><\/p>\n<p>Answer:<br \/>\nAs 3 sprinklers are adjacent all the 3 angles are equal.<br \/>\nEach angle of the sprinkler = 90\u00b0<br \/>\nTotal spraying angle of the sprinklers= 3 X 90\u00b0 = 270\u00b0<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou use 4 rhombus tiles and 4 trapezoid tiles to make the pattern for a mosaic. Each tile is the same size and shape as a pattern block. What is the measure \u2220NUQ?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13818\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-153.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 153\" width=\"219\" height=\"200\" \/><br \/>\nAnswer:<br \/>\nAs we know th pattern blocks of trapezoid have 60\u00b0 and rhombus have 30\u00b0.<br \/>\nEach tile is the same size and shape as a pattern block<br \/>\n\u2220NUQ= 30\u00b0 + 60\u00b0+ 60\u00b0 =150\u00b0<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou make the pattern for a quilt. Each rhombus is the same size and shape. Name all of the 60\u00b0 angles in the pattern.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13819\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-154.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 154\" width=\"249\" height=\"150\" \/><\/p>\n<p>Answer:<br \/>\nAll 60\u00b0 angles in the pattern = \u2220AHC +\u2220BHD +\u2220CHE+\u2220DHF +\u2220EHG.<\/p>\n<h3><a id=\"Add_Angle_Measures_Homework_&amp;_Practice_13.7\"><\/a>Add Angle Measures Homework &amp; Practice 13.7<\/h3>\n<p>Write an equation to find the measure of the angle.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13820\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-155.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 155\" width=\"188\" height=\"213\" \/><\/p>\n<p>Answer:<br \/>\n\u2220EFG= \u2220EFH +\u2220HFG<br \/>\n= 27\u00b0 + 44\u00b0<br \/>\n=71\u00b0<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13821\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-156.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 156\" width=\"255\" height=\"187\" \/><\/p>\n<p>Answer:<br \/>\n\u2220JKL= \u2220JKM +\u2220MKL<br \/>\n= 53\u00b0 + 85\u00b0<br \/>\n=138\u00b0<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13822\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-157.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 157\" width=\"271\" height=\"200\" \/><\/p>\n<p>Answer:<br \/>\n\u2220PQR= \u2220PQT +\u2220TQS +\u2220SQR<br \/>\n= 68\u00b0 + 47\u00b0 +54\u00b0<br \/>\n=316\u00b0<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13823\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-158.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 158\" width=\"176\" height=\"198\" \/><\/p>\n<p>Answer:<br \/>\n\u2220VWX= \u2220VWZ +\u2220ZWY +\u2220YWX<br \/>\n= 19\u00b0 + 42\u00b0 +35\u00b0<br \/>\n=96\u00b0<\/p>\n<p>Use a protractor to find the measure of each angle in the circle. Use the angle measures to write an equation.<\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13824\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-159.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 159\" width=\"183\" height=\"170\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20469 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-5.jpg\" alt=\"\" width=\"341\" height=\"252\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-5.jpg 341w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-5-300x222.jpg 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><\/p>\n<p>\u2220D= \u2220CDB +\u2220BDA +\u2220ADC<br \/>\n= 120\u00b0 + 60\u00b0 +180\u00b0<br \/>\n=360\u00b0<\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13825\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-160.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 160\" width=\"216\" height=\"180\" \/><\/p>\n<p>Answer:<br \/>\n\u2220N= \u2220JNM +\u2220MNL +\u2220LNK + \u2220KNJ<br \/>\n= 150\u00b0 + 30\u00b0+90\u00b0 + 90\u00b0<br \/>\n=360\u00b0<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20471 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-6-1.jpg\" alt=\"\" width=\"313\" height=\"243\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-6-1.jpg 313w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-6-1-300x233.jpg 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><\/p>\n<p>Question 7.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nIs it possible for the sum of two acute adjacent angle measures to be greater than the measure of a right angle? If so, draw a sketch to support your answer.<br \/>\nAnswer:<br \/>\nHere \u2220ABC and \u2220CBD are both acute angles.<br \/>\n\u2220ABD= \u2220ABC +\u2220CBD<br \/>\n= 60\u00b0+60\u00b0<br \/>\n=120\u00b0<br \/>\nsum of two acute adjacent angle=120\u00b0 is more than 90\u00b0 .<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20474 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-7.jpg\" alt=\"\" width=\"442\" height=\"292\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-7.jpg 442w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-7-300x198.jpg 300w\" sizes=\"(max-width: 442px) 100vw, 442px\" \/><\/p>\n<p>Question 8.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nUse a protractor to measure the angle. Then decompose the angle into 2 parts so that one part is 25\u00b0 greater than the other. What is the measure of each part?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13826\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-161.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 161\" width=\"247\" height=\"150\" \/><br \/>\nAnswer:<br \/>\nThe measure of given angle = 120\u00b0<br \/>\nThe given angle is divided into two parts one angle is 25\u00b0 greater than other.<br \/>\nThe measure each part = a + ( a + 25\u00b0) = 120\u00b0<br \/>\n120\u00b0 &#8211; 25\u00b0 =2a<br \/>\n105\u00b0 = 2a<br \/>\na=55.5\u00b0<br \/>\na + 25\u00b0 = 77.5\u00b0<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20476 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-8-1.jpg\" alt=\"\" width=\"307\" height=\"202\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-8-1.jpg 307w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Practice-Question-8-1-300x197.jpg 300w\" sizes=\"(max-width: 307px) 100vw, 307px\" \/><\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA carpenter glues 3 identical pieces of wood next to each other to make the table shown. The 30\u00b0 angles of the pieces of wood are adjacent. What is the total angle of the table formed by the pieces of wood?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13827\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-162.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 162\" width=\"112\" height=\"153\" \/><br \/>\nAnswer:<br \/>\nAngle of each wood piece = 30\u00b0<br \/>\nAs all angles are adjacent so angle of other wood pieces will be same.<br \/>\nso all 3 angles = 30\u00b0 each.<br \/>\nTotal angles = 3 x 30\u00b0 = 90\u00b0 .<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou use 3 triangle pattern blocks and 3 rhombus pattern blocks to make the pattern for an art project. What is the measure of \u2220ADE?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13828\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-163.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 163\" width=\"188\" height=\"176\" \/><br \/>\nAnswer:<br \/>\nThe pattern block angle of triangle = 60\u00b0<br \/>\nThe pattern block angle of Rhombus = 60\u00b0<br \/>\n\u2220ADE = \u2220ADB + \u2220BDE. = 60\u00b0+60\u00b0 =120\u00b0<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Compare<\/p>\n<p>Question 11.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13829\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-164.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 164\" width=\"77\" height=\"46\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20477 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Review-Refresh-Question-11.jpg\" alt=\"\" width=\"86\" height=\"53\" \/><\/p>\n<p>Question 12.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13830\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-165.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 165\" width=\"86\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20478 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Review-Refresh-Question-12.jpg\" alt=\"\" width=\"83\" height=\"62\" \/><\/p>\n<p>Question 13.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13831\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-166.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 166\" width=\"69\" height=\"48\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20479 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Review-Refresh-Question-13.jpg\" alt=\"\" width=\"70\" height=\"49\" \/><\/p>\n<h3><a id=\"Lesson_13.8_Find_Unknown_Angle_Measures\"><\/a>Lesson 13.8 Find Unknown Angle Measures<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Draw and label \u2220EDF where point F is between the rays of \u2220CDE. Explain how you can find the measure of \u2220CDF.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13832\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-167.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 167\" width=\"215\" height=\"206\" \/><br \/>\nAnswer:<br \/>\n\u2220CDE=\u2220CDF + \u2220EDF<br \/>\n= 45 + 45 =90\u00b0\u00a0 (USING PROTACTOR).<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20480 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Explore-Grow-Figure1.jpg\" alt=\"\" width=\"306\" height=\"220\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Explore-Grow-Figure1.jpg 306w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Explore-Grow-Figure1-300x216.jpg 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\nExplanation:<\/p>\n<p>Draw and label \u2220LMP. Explain how you can find the measure of \u2220NMP.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13833\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-168.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 168\" width=\"323\" height=\"77\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-168.png 323w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-168-300x72.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20481 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Explore-Grow-Figure2.jpg\" alt=\"\" width=\"395\" height=\"315\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Explore-Grow-Figure2.jpg 395w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Explore-Grow-Figure2-300x239.jpg 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" \/><br \/>\n<strong>Reasoning<\/strong><br \/>\nDraw <img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13835\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-169.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 169\" width=\"36\" height=\"33\" \/> in your figure above. Explain how you can find all of the angle measures in your figure. What do you notice?<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13835\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-169.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 169\" width=\"36\" height=\"33\" \/>is a which bisect the LN. so angles are divided into 2 parts equally. Using protractor we can find the measure of the angles.<br \/>\nThis are complementary angles.<\/p>\n<p><strong>Think and Grow: Find Unknown Angle Measures<\/strong><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13834\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-169.1.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 169.1\" width=\"612\" height=\"306\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-169.1.png 612w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-169.1-300x150.png 300w\" sizes=\"(max-width: 612px) 100vw, 612px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind the measure of \u2220DEG.<br \/>\n\u2220DEG and \u2220GEF are complementary. The sum of their measures is 90.\u00b0<br \/>\n<strong>Step 1:<\/strong> Write an equation to find the measure of \u2220DEG.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13836\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-171.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 171\" width=\"614\" height=\"366\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-171.png 614w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-171-300x179.png 300w\" sizes=\"(max-width: 614px) 100vw, 614px\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20482 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Think-Grow-Example.jpg\" alt=\"\" width=\"602\" height=\"413\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Think-Grow-Example.jpg 602w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Think-Grow-Example-300x206.jpg 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nWrite and solve an equation to find the measure of \u2220NLM.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13838\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-172.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 172\" width=\"286\" height=\"152\" \/><\/p>\n<p>Answer:<br \/>\nSupplementary angles form a straight line and have a sum of 180 degrees.<br \/>\n\u2220NLM=180\u00b0- \u2220KLN<br \/>\n= 180\u00b0 &#8211; 62\u00b0 = 118\u00b0<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Write and solve an equation to find the measure of the angle.<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13837\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-172.1.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 172.1\" width=\"169\" height=\"202\" \/><br \/>\nAnswer:<br \/>\nComplementary angles\u00a0form a right\u00a0angle\u00a0(L shape) and have a sum of 90 degrees.<br \/>\n\u2220MKL=90\u00b0- \u2220MKJ<br \/>\n= 90\u00b0 &#8211; 45\u00b0 = 45\u00b0<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13839\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-173.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 173\" width=\"231\" height=\"140\" \/><br \/>\nAnswer:<br \/>\nSupplementary angles form a straight line and have a sum of 180 degrees.<br \/>\n\u2220MNP=180\u00b0- \u2220PNO<br \/>\n= 180\u00b0 &#8211; 22\u00b0 = 158\u00b0<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13840\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-174.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 174\" width=\"174\" height=\"196\" \/><br \/>\nAnswer:<br \/>\n\u2220TRU= \u2220SRQ -\u2220SRT -\u2220URQ<br \/>\n= 90\u00b0 &#8211; 30\u00b0 &#8211; 40\u00b0<br \/>\n=20\u00b0<\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13841\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-175.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 175\" width=\"225\" height=\"180\" \/><\/p>\n<p>Answer:<br \/>\n\u2220YWZ= \u2220XWV -\u2220VWZ -\u2220YWX<br \/>\n= 180\u00b0 &#8211; 31\u00b0-111\u00b0<br \/>\n=38\u00b0<\/p>\n<p>Question 6.<br \/>\nFind the measures of \u2220AEB, \u2220AED, and \u2220DEC.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13842\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-176.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 176\" width=\"237\" height=\"175\" \/><\/p>\n<p>\u2220AEB= \u2220AEC -\u2220BEC<br \/>\n= 180\u00b0 &#8211; 67\u00b0 = 113\u00b0<br \/>\n\u2220DEC= \u2220DEB -\u2220BEC<br \/>\n= 180\u00b0 &#8211; 67\u00b0 = 113\u00b0<br \/>\n\u2220AED= \u2220AEC -\u2220DEC<br \/>\n= 180\u00b0 &#8211; 113\u00b0 = 67\u00b0<\/p>\n<p>Question 7.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite and solve equations to find the measure of \u2220KMJ.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13843\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-177.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 177\" width=\"286\" height=\"194\" \/><\/p>\n<p>Answer:<br \/>\n\u2220KME= \u2220KMG -\u2220GME<br \/>\n= 180\u00b0 &#8211; 124\u00b0 = 56\u00b0<br \/>\n\u2220KMJ= \u2220JME -\u2220KME<br \/>\n= 90\u00b0 &#8211; 56\u00b0 = 34\u00b0<\/p>\n<p>Question 8.<br \/>\n<strong>Writing<\/strong><br \/>\nDefine complementary angles and supplementary angles in your own words.<br \/>\nAnswer:<br \/>\nComplementary angles\u00a0form a right\u00a0angle\u00a0(L shape) and have a sum of 90 degrees.<br \/>\nSupplementary angles\u00a0form a straight line and have a sum of 180 degrees.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe foul lines on a baseball field are perpendicular. A baseball player hits a ball as shown. What is the measure of the angle between the path of the ball and the 1st base foul line?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13844\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-178.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 178\" width=\"282\" height=\"205\" \/><br \/>\nThink: What do you know? What do you need to find? How will you solve?<br \/>\nThe 3rd base foul line and 1st base foul line are perpendicular.<br \/>\nSo, the measure of the angle between the foul lines is _90\u00b0 __.<br \/>\nWrite an equation to find the measure of the angle between the path of the ball and the 1st base foul line.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13845\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-179.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 179\" width=\"581\" height=\"171\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-179.png 581w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-179-300x88.png 300w\" sizes=\"(max-width: 581px) 100vw, 581px\" \/><br \/>\n<a href=\"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4-chapter-13\/big-ideas-math-answer-key-grade-4-chapter-13-points-lines-ray-13-8-unknown-angle-measure-think-grow-example1\/\" rel=\"attachment wp-att-20483\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-20483\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Think-Grow-Example1.jpg\" alt=\"\" width=\"578\" height=\"172\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Think-Grow-Example1.jpg 578w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Think-Grow-Example1-300x89.jpg 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/a><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 9.<br \/>\nRunway 1 and Runway 2 are perpendicular. What is the measure of the missing angle between Runway 1 and Runway 3?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13846\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-180.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 180\" width=\"238\" height=\"143\" \/><\/p>\n<p>Answer:<br \/>\nAngle between Runway 1 and Runway 3= 90 &#8211; Angle between Runway 2 and Runway 3.<br \/>\n=90 &#8211; 58 =32\u00b0<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhat is the measure of the missing g angle between View Street and Elm Street?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13847\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-181.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 181\" width=\"240\" height=\"145\" \/><br \/>\nAnswer:<br \/>\nAngle between View Street and Elm Street=360 &#8211; Angle between IIIstreet and view street &#8211; Angle between elm street and IIIstreet.<br \/>\n=360- 90 -152<br \/>\n=118\u00b0<\/p>\n<h3><a id=\"Find_Unknown_Angle_Measures_Homework_&amp;_Practice_13.8\"><\/a>Find Unknown Angle Measures Homework &amp; Practice 13.8<\/h3>\n<p>Write and solve an equation to find the measure of the angle.<\/p>\n<p>Question 1.<br \/>\n\u2220JKM<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13848\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-182.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 182\" width=\"169\" height=\"160\" \/><br \/>\nAnswer:<br \/>\n\u2220JKM= \u2220JKL -\u2220MKL<br \/>\n= 90\u00b0 &#8211; 9\u00b0 = 81\u00b0<\/p>\n<p>Question 2.<br \/>\n\u2220PNM<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13849\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-183.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 183\" width=\"234\" height=\"124\" \/><\/p>\n<p>\u2220PNM= \u2220MNO -\u2220PNO<br \/>\n= 180\u00b0 &#8211; 145\u00b0 = 35\u00b0<\/p>\n<p>Question 3.<br \/>\n\u2220QRU<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13850\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-184.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 184\" width=\"168\" height=\"161\" \/><br \/>\nAnswer:<br \/>\n\u2220QRU= \u2220QRS -\u2220URT-\u2220TRS<br \/>\n= 90\u00b0-28\u00b0 &#8211; 13\u00b0<br \/>\n=49\u00b0<\/p>\n<p>Question 4.<br \/>\n\u2220ZWV<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13851\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-185.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 185\" width=\"239\" height=\"143\" \/><br \/>\nAnswer:<br \/>\n\u2220ZWV= \u2220VWX -\u2220ZWY-\u2220YWX<br \/>\n= 180\u00b0- 32\u00b0 &#8211; 24\u00b0<br \/>\n=124\u00b0<\/p>\n<p>Question 5.<br \/>\n<strong>Reasoning<\/strong><br \/>\n\u2220ABC and \u2220CBD are adjacent. \u2220ABC is a right angle.<br \/>\n\u2220CBD is acute.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13852\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-186.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 186\" width=\"642\" height=\"122\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-186.png 642w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-186-300x57.png 300w\" sizes=\"(max-width: 642px) 100vw, 642px\" \/><br \/>\nAnswer:<br \/>\n\u2220ABD=\u2220ABC-\u2220CBD<br \/>\n= 90 &#8211; 35 = 65\u00b0<br \/>\n<a href=\"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4-chapter-13\/big-ideas-math-answer-key-grade-4-chapter-13-points-lines-ray-13-8-unknown-angle-measure-reasoning-question-5\/\" rel=\"attachment wp-att-20484\"><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-20484\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.8-Unknown-Angle-Measure-Reasoning-Question-5.jpg\" alt=\"\" width=\"240\" height=\"188\" \/><\/a><\/p>\n<p>Question 6.<br \/>\n<strong>Structure<\/strong><br \/>\nWhich equations can you use to find the measure of angle \u2220MKJ?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13853\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-187.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 187\" width=\"316\" height=\"161\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-187.png 316w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-187-300x153.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><\/p>\n<p>Answer:<br \/>\n180 &#8211; 57 = x<\/p>\n<p>Question 7.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nAn acute angle and an obtuse angle are adjacent and supplementary. What might the measures of each angle be?<br \/>\nAnswer:<\/p>\n<div>let,\u00a0<span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">2<\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span>\u00a0be obtuse angle and\u00a0<span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">B<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">6<\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span>\u00a0be acute angle.<\/div>\n<div>So,\u00a0<span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">B<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mord\">8<\/span><span class=\"mord\">0<\/span><\/span><\/span><\/span><\/div>\n<div>That means\u00a0<span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span>(obtuse angle) and\u00a0<span class=\"katex\"><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">B<\/span><\/span><\/span><\/span>(acute angle) are supplementary<\/div>\n<div><\/div>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton bounces a ball off of a wall to Descartes. \\(\\overline{A D}\\)\u22a5\\(\\overline{D B}\\). The measures of \u2220ADC and \u2220BDE are equivalent. Find the measures of \u2220ADC and \u2220BDE.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13854\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-188.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 188\" width=\"286\" height=\"165\" \/><\/p>\n<p>Answer:<br \/>\n\u2220ADC and \u2220BDE. are equal<br \/>\n\u2220CDE= \u2220ADC + \u2220BDE &#8211; \u2220BDA.<br \/>\n180 = a + a &#8211; \u2220BDA.<br \/>\n\u2220BDA.=180 -2a<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nOwls see an object with both eyes at the same time using binocular vision. What angle measure describes the owl&#8217;s binocular vision? Explain.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13855\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-189.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 189\" width=\"227\" height=\"206\" \/><br \/>\nAnswer:<br \/>\nleft monocular + Binocular vision = 180<br \/>\nBinocular vision = 180 &#8211; 110=70 degrees.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Write the fraction as a money amount and as a decimal<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{49}{100}\\)<br \/>\nAnswer:<br \/>\n0.49<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{25}{100}\\)<br \/>\nAnswer:<br \/>\n0.25<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{7}{100}\\)<br \/>\nAnswer:<br \/>\n0.07<\/p>\n<h3><a id=\"Identify_and_Draw_Lines_and_Angles_Performance_Task_13\"><\/a>Identify and Draw Lines and Angles Performance Task 13<\/h3>\n<p>A rural town is expanding and needs to plan the construction of new roads.<\/p>\n<p>Question 1.<br \/>\nWhat is another name for Main Street?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13856\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-190.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 190\" width=\"332\" height=\"342\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-190.png 332w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-190-291x300.png 291w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><br \/>\nAnswer:<br \/>\nLine AC.<\/p>\n<p>Question 2.<br \/>\nUse the directions to complete the map.<br \/>\na. Draw <img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13858\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-191.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 191\" width=\"37\" height=\"30\" \/> and label it with a street name of your choice.<br \/>\nb. The library will be at point E on <img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13857\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-191.1.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 191.1\" width=\"38\" height=\"32\" \/> and on the other side of Main Street as the school. Plot and label the library E at point E.<br \/>\nc. Draw a new road through point E that is perpendicular to Main Street. Label it with a street name of your choice.<\/p>\n<p>Question 3.<br \/>\nCity planners want to construct a new residential neighborhood southeast of the town hall.<br \/>\na. The measure of \u2220ABD is \\(\\frac{1}{6}\\) of 360\u00b0. What is the measure of the angle?<br \/>\nAnswer:<br \/>\n\u2220ABD=(1\/6) x 360 =60 degree.<br \/>\nb. Classify \u2220DBC. What is its measure?<br \/>\nAnswer:<br \/>\n\u2220DBC=180 -\u2220ABD = 180-60 = 120 degrees.<br \/>\nc. Draw a road from point B to the new neighborhood. The road divides \u2220DBC exactly in half.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20485 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Performance-Task-13-Question-1.jpg\" alt=\"\" width=\"392\" height=\"423\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Performance-Task-13-Question-1.jpg 392w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Performance-Task-13-Question-1-278x300.jpg 278w\" sizes=\"(max-width: 392px) 100vw, 392px\" \/><\/p>\n<p>Question 4.<br \/>\nIs the distance between the supermarket and the police station more than or less than a mile? Explain.<br \/>\nAnswer:<br \/>\nDistance between the supermarket and the police station= AB + BC<br \/>\n= (1\/4) + (5\/8).<br \/>\n=(2+5)\/8<br \/>\n=7\/8.=0.8 mile<br \/>\nwhich is less than 1 mile.<\/p>\n<h3><a id=\"Identify_and_Draw_Lines_and_Angles_Activity\"><\/a>Identify and Draw Lines and Angles Activity<\/h3>\n<p><strong>Geometry Dots<\/strong><\/p>\n<p><strong>Directions:<\/strong><\/p>\n<ol>\n<li>Players take turns connecting two dots, each using a different color.<\/li>\n<li>On your turn, connect two dots, vertically or horizontally. If you close a square around an angle, find the measure of the angle inside the square. If you do not close a square, your turn is over.<\/li>\n<li>Continue playing until you find all of the angle measures.<\/li>\n<li>The player that finds the most angle measures wins!<\/li>\n<\/ol>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13859\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-192.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 192\" width=\"617\" height=\"630\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-192.png 617w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-192-294x300.png 294w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20493 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Activity.jpg\" alt=\"\" width=\"602\" height=\"615\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Activity.jpg 602w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Activity-294x300.jpg 294w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<h3><a id=\"Identify_and_Draw_Lines_and_Angles_Chapter_Practice_13\"><\/a>Identify and Draw Lines and Angles Chapter Practice 13<\/h3>\n<p><strong>13.1 Points, Lines and Rays<\/strong><\/p>\n<p>Name the figure. Write how to say the name.<\/p>\n<p>Question 1.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13860\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-193.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 193\" width=\"49\" height=\"54\" \/><br \/>\nAnswer:<br \/>\nIt is a point said as Point F<\/p>\n<p>Question 2.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13861\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-194.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 194\" width=\"103\" height=\"93\" \/><br \/>\nAnswer:<\/p>\n<p>It is said as line GH. and represented as GH with overhead arrow.<\/p>\n<p>Question 3.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13862\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-195.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 195\" width=\"137\" height=\"61\" \/><br \/>\nAnswer:<br \/>\nIt is a ray JK .It is represented with Over head arrow to left.<\/p>\n<p>Draw and label the figure.<\/p>\n<p>Question 4.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13863\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-196.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 196\" width=\"45\" height=\"40\" \/><br \/>\nAnswer:<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23510 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-13.3-Identify-Parallel-Perpendicular-Lines-Question-4.jpg\" alt=\"\" width=\"318\" height=\"93\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-13.3-Identify-Parallel-Perpendicular-Lines-Question-4.jpg 318w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-13.3-Identify-Parallel-Perpendicular-Lines-Question-4-300x88.jpg 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><\/p>\n<p>Question 5.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13864\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-197.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 197\" width=\"47\" height=\"37\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23514 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Chapter-Practice-13-13.1-Points-Lines-Rays-Question-5.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Chapter-Practice 13-13.1-Points-Lines-Rays-Question-5\" width=\"326\" height=\"177\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Chapter-Practice-13-13.1-Points-Lines-Rays-Question-5.jpg 326w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Chapter-Practice-13-13.1-Points-Lines-Rays-Question-5-300x163.jpg 300w\" sizes=\"(max-width: 326px) 100vw, 326px\" \/><\/p>\n<p>Question 6.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13865\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-198.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 198\" width=\"39\" height=\"39\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20541 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Chapter-Practice-13-Question-6-e1609947816380.jpg\" alt=\"\" width=\"405\" height=\"82\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Chapter-Practice-13-Question-6-e1609947816380.jpg 405w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-Identify-\u2013Draw-Lines-Angles-Chapter-Practice-13-Question-6-e1609947816380-300x61.jpg 300w\" sizes=\"(max-width: 405px) 100vw, 405px\" \/><\/p>\n<p>Use the figure<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13866\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-199.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 199\" width=\"267\" height=\"141\" \/><\/p>\n<p>Question 7.<br \/>\nName a line segment.<br \/>\nAnswer: CE<\/p>\n<p>Question 8.<br \/>\nName two different rays.<br \/>\nAnswer: CA and\u00a0 CB.<\/p>\n<p><strong>13.2 Identify and Draw Angles<\/strong><\/p>\n<p>Question 9.<br \/>\nWrite a name for the angle and classify it.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13867\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-200.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 200\" width=\"221\" height=\"122\" \/><br \/>\nAnswer:<br \/>\n\u2220SRQ. It is a obtuse angle.<\/p>\n<p>Question 10.<br \/>\n\u2220TUV is a right angle. Draw and label the angle.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23515 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Identify-Draw-Lines-Angles-Chapter-Practice-13-13.2-Identify-Draw-Angles-Question-10.jpg\" alt=\"\" width=\"281\" height=\"251\" \/><\/p>\n<p><strong>13.3 Identify Parallel and Perpendicular Lines<\/strong><\/p>\n<p>Draw and label the lines with the given description.<\/p>\n<p>Question 11.<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13868\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-201.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 201\" width=\"217\" height=\"244\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-23509 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-13.3-Identify-Parallel-Perpendicular-Lines-Question-11.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-13.3-Identify-Parallel-Perpendicular-Lines-Question-11\" width=\"196\" height=\"175\" \/><\/p>\n<p>Question 12.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13869\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-202.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 202\" width=\"229\" height=\"246\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20549 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.3-Identify-Parallel-perpendicular-Lines-Question-12.jpg\" alt=\"\" width=\"276\" height=\"234\" \/><br \/>\n<strong>13.4 Understand Degrees<\/strong><\/p>\n<p>Find the measure of each angle.<\/p>\n<p>Question 13.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13870\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-203.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 203\" width=\"135\" height=\"123\" \/><\/p>\n<p>Answer:<br \/>\n115\u00b0<\/p>\n<p>Question 14.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13871\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-204.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 204\" width=\"297\" height=\"122\" \/><\/p>\n<p>Answer:<br \/>\n=(1\/5) x(&#8212;&#8211;\/&#8212;&#8211;)= &#8212;-\/360.<br \/>\n=72\u00b0\/360\u00b0<\/p>\n<p>Question 15.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13872\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-205.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 205\" width=\"127\" height=\"117\" \/><\/p>\n<p>Answer:<br \/>\n=1\/4 x 360<br \/>\n=90\u00b0<\/p>\n<p>Question 16.<br \/>\nA circle is divided into 12 equal parts. What is the measure of the angle that turns through 2 parts?<br \/>\nAnswer:<br \/>\nNumber parts divided = 12<br \/>\nTotal sum of the angles = 360\u00b0<br \/>\nAngle of 1 part = 360\u00b0\/12. = 30\u00b0.<br \/>\nThe measure of the angle that turns through 2 parts = 2 x 30\u00b0. = 60\u00b0.<\/p>\n<p>Question 17.<br \/>\n<strong>Which one Doesn&#8217;t Belong?<\/strong> Which angle measure does not belong with the other three?<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13873\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-206.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 206\" width=\"536\" height=\"59\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-206.png 536w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-206-300x33.png 300w\" sizes=\"(max-width: 536px) 100vw, 536px\" \/><br \/>\nAnswer:<br \/>\n1\/6 of a circle = 360\/6 = 60\u00b0.<br \/>\n60\/360 of a circle = 1\/6.<br \/>\n60\u00b0<br \/>\n1\/8 of a circle = 360\u00b0\/8=45\u00b0<br \/>\nTherefore 1\/8 of a circle is different.<\/p>\n<p><strong>13.5 Find Angle Measures<\/strong><\/p>\n<p>Use pattern blocks to find the measure of the angle.<\/p>\n<p>Question 18.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13874\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-207.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 207\" width=\"182\" height=\"121\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20591 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Question-18.jpg\" alt=\"\" width=\"226\" height=\"163\" \/><\/p>\n<p>Question 19.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13875\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-208.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 208\" width=\"134\" height=\"125\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20592 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Question-19.jpg\" alt=\"\" width=\"154\" height=\"156\" \/><\/p>\n<p>Question 20.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13876\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-209.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 209\" width=\"125\" height=\"110\" \/><br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20593 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Question-20.jpg\" alt=\"\" width=\"154\" height=\"133\" \/><\/p>\n<p>Question 21.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13877\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-210.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 210\" width=\"239\" height=\"79\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20595 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.5-Find-Angle-Measures-Question-21.jpg\" alt=\"\" width=\"273\" height=\"103\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>13.6 Measure and Draw Angles<\/strong><\/p>\n<p>Question 22.<br \/>\nFind the measure of the angle. Then classify it.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13878\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-211.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 211\" width=\"232\" height=\"250\" \/><\/p>\n<p>Question 23.<br \/>\nUse a protractor to draw a 45\u00b0 angle.<br \/>\nAnswer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20597 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measures-Draw-Angle-Question-23.jpg\" alt=\"\" width=\"320\" height=\"215\" srcset=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measures-Draw-Angle-Question-23.jpg 320w, https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.6-Measures-Draw-Angle-Question-23-300x202.jpg 300w\" sizes=\"(max-width: 320px) 100vw, 320px\" \/><\/p>\n<p><strong>Modeling Real Life<\/strong><br \/>\nOn a map, two straight railroad tracks intersect. One of the angles formed by the intersection is 30\u00b0. What are the three other angle measures?<\/p>\n<p><strong>13.7 Add Angle Measures<\/strong><\/p>\n<p>Question 25.<br \/>\nWrite an equation to find the measure \u2220EFG.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13879\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-212.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 212\" width=\"208\" height=\"182\" \/><\/p>\n<p>Answer:<br \/>\n\u2220EFG = \u2220EFH+\u2220HFG.<br \/>\n=37\u00b0 + 48\u00b0 = 85\u00b0.<\/p>\n<p>Question 26.<br \/>\nUse a protractor to find the measure of each angle in the circle. Use the angle measures to write an equation.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13880\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-213.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 213\" width=\"173\" height=\"181\" \/><\/p>\n<p>Answer:<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-20596 size-full\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-4-Chapter-13-Points-Lines-Ray-13.7-Add-Angle-Measures-Question-26.jpg\" alt=\"\" width=\"258\" height=\"192\" \/><\/p>\n<p><strong>13.8 Find Unknown Angle Measures<\/strong><\/p>\n<p>Write and solve an equation to find the measure of the angle.<\/p>\n<p>Question 27.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13881\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-214.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 214\" width=\"182\" height=\"200\" \/><br \/>\nAnswer:<br \/>\nComplementary angles =90\u00b0.<br \/>\n\u2220ABD = \u2220ABC-\u2220DBC.<br \/>\n=90\u00b0-27\u00b0 = 63\u00b0.<\/p>\n<p>Question 28.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13882\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-215.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 215\" width=\"270\" height=\"177\" \/><\/p>\n<p>Answer:<br \/>\nSupplementary angle =180\u00b0<br \/>\n\u2220HFG = \u2220EFG-\u2220EFH.<br \/>\n=180\u00b0 + 42\u00b0 = 38\u00b0.<\/p>\n<p>Question 29.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13883\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-216.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 216\" width=\"176\" height=\"203\" \/><\/p>\n<p>Answer:<br \/>\nComplementary angles =90\u00b0.<br \/>\n\u2220MKL = \u2220LKJ-\u2220MKN-\u2220NKJ.<br \/>\n=90\u00b0-45\u00b0-22\u00b0= 23\u00b0.<\/p>\n<p>Question 30.<br \/>\n<img decoding=\"async\" loading=\"lazy\" class=\"alignnone size-full wp-image-13884\" src=\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-4th-Grade-Chapter-13-Identify-and-Draw-Lines-and-Angles-217.png\" alt=\"Big Ideas Math Answers 4th Grade Chapter 13 Identify and Draw Lines and Angles 217\" width=\"279\" height=\"149\" \/><\/p>\n<p>Answer:<br \/>\nSupplementary angles =180\u00b0.<br \/>\n\u2220SPR = \u2220OPQ-\u2220OPS-\u2220RPQ.<br \/>\n=180\u00b0-25\u00b0-52\u00b0= 103\u00b0.<\/p>\n<p><em>Conclusion:\u00a0<\/em><\/p>\n<p>The solutions provided in the Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles are prepared by the subject experts. So Download Bigideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles for free and start practicing the problems. Also, bookmark our page to get the Solution Key of Big Ideas Math Grade 4 Chapters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Students who are looking for the BIM 4th Grade Answer Key Chapter 13 Identify and Draw Lines and Angles can get them on this page. We are here to give easy methods to solve the problems in Chapter 13 Identify and Draw Lines and Angles. Get the step by step explanation for all the question &#8230; <a title=\"Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles\" class=\"read-more\" href=\"https:\/\/ccssanswers.com\/big-ideas-math-answers-grade-4-chapter-13\/\" aria-label=\"More on Big Ideas Math Answers Grade 4 Chapter 13 Identify and Draw Lines and Angles\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/13623"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=13623"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/13623\/revisions"}],"predecessor-version":[{"id":138636,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/13623\/revisions\/138636"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=13623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=13623"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=13623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}