\nIdentify the measures of the following angles.
\na.
\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-4-Lesson-5-Homework-Answer-Key-1.png\")
\nAnswer:
\nThe above angle is measured as 60\u00b0.<\/p>\n
Question 1.
\nMake a list of the measures of the benchmark angles you drew, starting with Set A.
\nRound each angle measure to the nearest 5\u00b0 Both sets have been started for you.
\na. Set A: 45\u00b0, 90\u00b0,
\nAnswer:
\nThe angles that are nearest to 5\u00b0 will be 90\u00b0, 180\u00b0, 270\u00b0, 360\u00b0.<\/p>\n
Explanation:
\nHere, the list of the angles in Set A is 45\u00b0, 90\u00b0, 135\u00b0, 180\u00b0, 225\u00b0, 270\u00b0, 315\u00b0, 360\u00b0, so here we need to round off the each angle which is nearest to 5\u00b0 and the angles will be 90\u00b0, 180\u00b0, 270\u00b0, 360\u00b0 are the angles which are nearest to 5\u00b0.<\/p>\n
b. Set B: 30\u00b0,60\u00b0,
\nAnswer:
\nThe angles that are nearest to 5\u00b0 will be 90\u00b0, 180\u00b0, 270\u00b0, 360\u00b0.<\/p>\n
Explanation:
\nHere, the list of the angles in Set A is 30\u00b0, 60\u00b0, 90\u00b0, 120\u00b0, 150\u00b0, 180\u00b0, 210\u00b0, 240\u00b0,\u00a0 so here we need to round off the each angle which is nearest to 5\u00b0 and the angles will be 90\u00b0, 180\u00b0, 270\u00b0, 360\u00b0 are the angles which are nearest to 5\u00b0.<\/p>\n
Question 2.
\nCircle any angle measures that appear on both lists. What do you notice about them?
\nAnswer:
\nWe have noticed that they all are right angles and they all are quarter turns.<\/p>\n
Explanation:
\nThe angles that are cricled are 90\u00b0, 180\u00b0, 270\u00b0, 360\u00b0, and we have noticed that they all are right angles and they all are quarter turns.<\/p>\n
Question 3.
\nList the angle measures from Problem 1 that are acute. Trace each angle with your finger as you say its measurement.
\nAnswer:
\nThe angles are 30\u00b0, 45\u00b0, and 60\u00b0.<\/p>\n
Explanation:
\nThe angles that measures from problem 1 that are acute which we have traced is 30\u00b0, 45\u00b0, and 60\u00b0.<\/p>\n
Question 4.
\nList the angle measures from Problem 1 that are obtuse. Trace each angle with your finger as you say its measurement.
\nAnswer:
\nThe angles are 120\u00b0, 135\u00b0, and 150\u00b0.<\/p>\n
Explanation:
\nThe angles that measures from problem 1 that are acute which we have traced is 120\u00b0, 135\u00b0, and 150\u00b0.<\/p>\n
Question 5.
\nWe found out today that 1\u00b0 is \\(\\frac{1}{360}\\) of a whole turn. It is 1 out of 360\u00b0. That means a 2\u00b0 angle is \\(\\frac{2}{360}\\) of a whole turn. What fraction of a whole turn is each of the benchmark angles you listed in Problem 1?
\nAnswer:
\nThe angles in the set A are \\(\\frac{45}{360}\\),\\(\\frac{90}{360}\\), \\(\\frac{135}{360}\\),\\(\\frac{180}{360}\\),\\(\\frac{225}{360}\\),\\(\\frac{270}{360}\\), \\(\\frac{315}{360}\\), \\(\\frac{360}{360}\\).
\nThe angles in the set A are \\(\\frac{30}{360}\\),\\(\\frac{60}{360}\\), \\(\\frac{90}{360}\\),\\(\\frac{120}{360}\\),\\(\\frac{150}{360}\\),\\(\\frac{180}{360}\\), \\(\\frac{210}{360}\\), \\(\\frac{240}{360}\\), \\(\\frac{270}{360}\\), \\(\\frac{240}{360}\\), \\(\\frac{300}{360}\\), \\(\\frac{330}{360}\\), \\(\\frac{360}{360}\\).<\/p>\n
Explanation:
\nThe fraction of a whole turn is each of the benchmark angles that are listed in problem 1 set A is \\(\\frac{45}{360}\\),\\(\\frac{90}{360}\\), \\(\\frac{135}{360}\\),\\(\\frac{180}{360}\\),\\(\\frac{225}{360}\\),\\(\\frac{270}{360}\\), \\(\\frac{315}{360}\\), \\(\\frac{360}{360}\\).
\nThe fraction of a whole turn is each of the benchmark angles that are listed in problem 1 set B is \\(\\frac{30}{360}\\),\\(\\frac{60}{360}\\), \\(\\frac{90}{360}\\),\\(\\frac{120}{360}\\),\\(\\frac{150}{360}\\),\\(\\frac{180}{360}\\), \\(\\frac{210}{360}\\), \\(\\frac{240}{360}\\), \\(\\frac{270}{360}\\), \\(\\frac{240}{360}\\), \\(\\frac{300}{360}\\), \\(\\frac{330}{360}\\), \\(\\frac{360}{360}\\).<\/p>\n
Question 6.
\nHow many 45\u00b0 angles does it take to make a full turn?
\nAnswer:
\nIt takes eight 45\u00b0 angles to make a full turn.<\/p>\n
Explanation:
\nAs the circle has 360\u00b0 for full turn and for 45\u00b0 It takes eight 45\u00b0 angles to make a full turn.<\/p>\n
Question 7.
\nHow many 30\u00b0 angles does it take to make a full turn?
\nAnswer:
\nIt takes twelve 45\u00b0 angles to make a full turn.<\/p>\n
Explanation:
\nAs the circle has 360\u00b0 for full turn and for 45\u00b0 It takes twelve 45\u00b0 angles to make a full turn.<\/p>\n
Question 8.
\nIf you didn\u2019t have a protractor, how could you reconstruct a quarter of it from 0\u00b0 to 90\u00b0?
\nAnswer:
\nHere, we could use two 45\u00b0 angles or three 30\u00b0 angles and we will put them together and we can make a right angle template.<\/p>\n
Question 1.
\nHow many right angles make a full turn?
\nAnswer:
\nIt takes four right angles to make a full turn.<\/p>\n
Explanation:
\nAs the circle has 360\u00b0 for full turn and four right angles It takes four right angles to make a full turn.<\/p>\n
Question 2.
\nWhat is the measurement of a right angle?
\nAnswer:
\nThe measurement of a right angle is 90\u00b0 as the set of two lines intersect each other at 90\u00b0 and they form a right angle. So the measurement of right angle is 90\u00b0.<\/p>\n
Question 3.
\nWhat fraction of a full turn is 1\u00b0
\nAnswer:
\nAs a full turn is 360\u00b0, so 1\u00b0 of 360\u00b0 written in the fraction as \\(\\frac{1}{360}\\).<\/p>\n
Question 4.
\nName at least four benchmark angle measurements.
\nAnswer:
\nThe four benchmark angle measurements are 30\u00b0, 45\u00b0, 60\u00b0, 90\u00b0.<\/p>\n
Explanation:
\nHere the benchmarks are defined as the standard or reference point against which something can be measured or compared. And benchmark numbers are the numbers against which other numbers or qualities can be estimated or compared. Here the four benchmark angle measurements are 30\u00b0, 45\u00b0, 60\u00b0, 90\u00b0.<\/p>\n
Question 1.
\nIdentify the measures of the following angles.
\na.
\n
\nAnswer:
\nThe above angle is measured as 60\u00b0.<\/p>\n
Explanation:
\nIn the above image, we can see that the angle is\u00a060\u00b0 and is known as acute angle. As the angle measures less than 90\u00b0, so the above angle is measured as 60\u00b0.<\/p>\n
b.
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-4-Lesson-5-Homework-Answer-Key-2.png\")
\nAnswer:
\nThe above angle is measured as 130\u00b0.<\/p>\n
Explanation:
\nIn the above image, we can see that the angle is 130\u00b0 and is known as obtuse angle. As the angle measures greater than 90\u00b0. So the above angle is measured as 130\u00b0.<\/p>\n
c.
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-4-Lesson-5-Homework-Answer-Key-3.png\")
\nAnswer:
\nThe above angle is measured as 315\u00b0.<\/p>\n
Explanation:
\nIn the above image, we can see that the angle is 315\u00b0 and is known as reflex angle. As the angle measures greater than 180\u00b0. So the above angle is measured as 315\u00b0.<\/p>\n
d.
\n![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-4-Lesson-5-Homework-Answer-Key-4.png\")
\nAnswer:
\nThe above angle is measured as 120\u00b0.<\/p>\n
Explanation:
\nIn the above image, we can see that the angle is 120\u00b0 and is known as obtuse angle. As the angle measures greater than 90\u00b0. So the above angle is measured as 90\u00b0.<\/p>\n
Question 2.
\nIf you didn\u2019t have a protractor, how could you construct one? Use words, pictures, or numbers to explain in the space below.
\nAnswer:
\nHere, we will take a rectangular sheet of paper and we will fold the top side against aside. And next we will remove the bookmark which is at the bottom. Now we will unfold the square which we had made earlier, now we will fold with + shape and then X shape. So now we can measure the angles in 45\u00b0 increments.<\/p>\n
![\"Eureka](\"https:\/\/ccssanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-4-Lesson-5-Template-Answer-Key-5.png\")
\n_________________
\ncircular protractor
\nAnswer:
\nA protractor is a measuring instrument which will be transparent made with a plastic or a glass. A circular protractor is a protractor which has two sets of measurements, here one set is marked with 180\u00b0 and the opposite direction is marked with 360\u00b0.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 4th Grade Module 4 Lesson 5 Answer Key Eureka Math Grade 4 Module 4 Lesson 5 Problem Set Answer Key Question 1. Make a list of the measures of the benchmark angles you drew, starting with Set A. Round each angle measure to the nearest 5\u00b0 Both sets have been started … 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":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/61568"}],"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=61568"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/61568\/revisions"}],"predecessor-version":[{"id":137219,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/61568\/revisions\/137219"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=61568"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=61568"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=61568"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}