![\"Linear](\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/Linear-Pair-of-Angles-1.jpg\")
<\/p>\n
From the above figure, AO and OC are two opposite rays and \u2220AOB and \u2220BOC are the adjacent angles. Therefore, \u2220AOB and \u2220BOC form a linear pair.<\/p>\n
Explanation for Linear Pair of Angles<\/h3>\n
The angle between the two straight lines is 180\u00b0 and they form a straight angle. The line segment is the portion of a line that consists of two endpoints. Also, a line with one endpoint is known as a ray. If you consider a line mn and the middle point is o. A ray OP dividing the two lines MO and ON. The complete angle MOP and angle PON becomes 180\u00ba to form a linear pair of angles.<\/p>\n
\u2220MOP + \u2220PON = \u2220MON = 180\u00b0<\/p>\n
We have also given Lines and Angles<\/strong><\/a> concepts and problems for free of cost on our website.<\/p>\n Axiom 1: If a ray stands on a line then the adjacent angles form a linear pair of angles.<\/p>\n From the above figure, there are different line segments available that are passing through point O. From the figure, we can say that Angle BOD and Angle BOC are Linear Pair of Angles.<\/p>\n In the given figure, \u2220AOC and \u2220 BOC form a linear pair if x – y = 50\u00b0, find the value of x and y.<\/p>\n Solution: Since, x – y = 50\u00b0 The final answer is x = 115\u00b0 and y = 65\u00b0.<\/p>\n","protected":false},"excerpt":{"rendered":" Do you want to know What is linear pair of angles? Linear Pair of Angles are similar to adjacent angles but only the difference is adding two angles we get 180\u00ba in linear angles. Linear Pair of Angles will also have a common vertex, common arm like adjacent angles. Their interiors will also do not … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/35475"}],"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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=35475"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/35475\/revisions"}],"predecessor-version":[{"id":138460,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/35475\/revisions\/138460"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=35475"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=35475"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=35475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Axioms<\/h3>\n
![\"Axiom](\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/Axiom-of-linear-pair-of-angles-300x258.jpg\")
<\/p>\nLinear Pair of Angles Examples<\/h3>\n
![\"Linear](\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/01\/Linear-pair-of-angles-1-1.jpg\")
<\/p>\n
\nGiven x – y = 50\u00b0 \u2026\u2026\u2026\u2026 (i)
\nWe know that, x + y = 180\u00b0 \u2026\u2026\u2026\u2026 (ii)
\nAdding (i) and (ii)
\nx – y + x + y = 180\u00b0 + 50\u00b0
\n2x = 230\u00b0
\nx = 240\u00b0\/2
\nTherefore, x = 115\u00b0<\/p>\n
\nor, 115\u00b0 – y = 50\u00b0
\nor, 115\u00b0 – 115\u00b0 – y = 50\u00b0 – 115\u00b0
\nor, -y = -65\u00b0
\nTherefore, y = 65\u00b0<\/p>\n