{"id":71971,"date":"2023-09-13T03:17:00","date_gmt":"2023-09-12T21:47:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71971"},"modified":"2023-12-01T10:51:43","modified_gmt":"2023-12-01T05:21:43","slug":"rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/","title":{"rendered":"RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions (2024)"},"content":{"rendered":"\n<p>In geometry, we frequently come across geometrical patterns consisting of angles that possess specific relations amid themselves. Here in the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions, we will discuss the relations between the angles formed between lines, which is concerned under the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-8-lines-and-angles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Lines and Angles<\/a>. Moreover, students will also learn about topics like- the relation of angles and linear pairs of angles.<\/p>\n<p>For practice on these types of questions, we have provided the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF from which learners will get to solve several types of questions related to the angle relations and linear pair of angles. The PDF contains the questions from the 9th Class CBSE Text Book and the RD Sharma.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69e718ea80121\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: 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Exercise 8.2 Solutions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#important-questions-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\" title=\"Important Questions RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions\">Important Questions RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#linear-pair-of-angle\" title=\"Linear Pair of Angle\">Linear Pair of Angle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#adjacent-angles\" title=\"Adjacent Angles\">Adjacent Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#access-the-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\" title=\"Access the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions\">Access the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#fill-in-the-blanks-related-to-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\" title=\"Fill in the Blanks Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions\">Fill in the Blanks Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#faqs-related-to-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\" title=\"FAQs Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions\">FAQs Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#what-is-an-example-of-a-linear-pair-of-angles\" title=\"What is an example of a linear pair of angles?\">What is an example of a linear pair of angles?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#what-are-the-angle-pair-relationships\" title=\"What are the angle pair relationships?\">What are the angle pair relationships?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#can-i-download-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions-pdf-free\" title=\"Can I download RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF free?\">Can I download RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF free?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/#what-are-the-benefits-of-studying-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\" title=\"What are the benefits of studying RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions?\">What are the benefits of studying RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions-pdf\"><\/span>Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-8-Lines-and-Angles-Exercise-8.2.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-8-Lines-and-Angles-Exercise-8.2.pdf\">Solutions for Class 9 Maths Chapter 8 Lines and Angles Exercise 8.2<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-questions-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\"><\/span>Important Questions RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"linear-pair-of-angle\"><\/span>Linear Pair of Angle<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>When the angle connecting the two lines is 180 degrees (180\u00b0), they make a straight angle. A straight angle is simply another way to denote a straight line. A straight line can be envisioned as a circle with an endless radius. A line segment is any part of a line that has two endpoints. Also, a division of any line with only one endpoint is known as a ray. A line segment with P and Q as two endpoints is denoted as.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"adjacent-angles\"><\/span>Adjacent Angles<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Adjacent Angles share a standard vertex, a usual side, and no common interior points of angles. The Adjacent Angles share a vertex and side, but they don\u2019t overlap.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-the-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\"><\/span>Access the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Question 1: In the below Fig. OA and OB are opposite rays:<\/strong><\/p>\n<p><strong>(i) If x = 25<sup>0<\/sup>, what is the value of y?<\/strong><\/p>\n<p><strong>(ii) If y = 35<sup>0<\/sup>, what is the value of x?<\/strong><\/p>\n<p><strong><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 1\" \/><\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong>(i)<\/strong>\u00a0Given: x = 25<\/p>\n<p>From figure: \u2220AOC and \u2220BOC form a linear pair<\/p>\n<p>Which implies, \u2220AOC + \u2220BOC = 180<sup>0<\/sup><\/p>\n<p>From the figure, \u2220AOC = 2y + 5 and \u2220BOC = 3x<\/p>\n<p>\u2220AOC + \u2220BOC = 180<sup>0<\/sup><\/p>\n<p>(2y + 5) + 3x = 180<\/p>\n<p>(2y + 5) + 3 (25) = 180<\/p>\n<p>2y + 5 + 75 = 180<\/p>\n<p>2y + 80 = 180<\/p>\n<p>2y = 100<\/p>\n<p>y = 100\/2 = 50<\/p>\n<p>Therefore, y = 50<sup>0<\/sup><sub>\u00a0<\/sub><\/p>\n<p><strong>(ii)<\/strong>\u00a0Given: y = 35<sup>0<\/sup><\/p>\n<p>From figure: \u2220AOC + \u2220BOC = 180\u00b0 (Linear pair angles)<\/p>\n<p>(2y + 5) + 3x = 180<\/p>\n<p>(2(35) + 5) + 3x = 180<\/p>\n<p>75 + 3x = 180<\/p>\n<p>3x = 105<\/p>\n<p>x = 35<\/p>\n<p>Therefore, x = 35<sup>0<\/sup><\/p>\n<p><strong>Question 2: In the below figure, write all pairs of adjacent angles and all the linear pairs.<\/strong><\/p>\n<p><strong><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-1.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 2\" \/><\/strong><\/p>\n<p><strong>Solution<\/strong>: From figure, pairs of adjacent angles are :<\/p>\n<p>(\u2220AOC, \u2220COB) ; (\u2220AOD, \u2220BOD) ; (\u2220AOD, \u2220COD) ; (\u2220BOC, \u2220COD)<\/p>\n<p>And Linear pair of angles are (\u2220AOD, \u2220BOD) and (\u2220AOC, \u2220BOC).<\/p>\n<p>[As \u2220AOD + \u2220BOD = 180<sup>0<\/sup>\u00a0and \u2220AOC+ \u2220BOC = 180<sup>0<\/sup>.]<\/p>\n<p><strong>Question 3 : In the given figure, find x. Further find \u2220BOC , \u2220COD and \u2220AOD.<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-2.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 3\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>From figure, \u2220AOD and \u2220BOD form a linear pair,<\/p>\n<p>Therefore, \u2220AOD+ \u2220BOD = 180<sup>0<\/sup><\/p>\n<p>Also, \u2220AOD + \u2220BOC + \u2220COD = 180<sup>0<\/sup><\/p>\n<p>Given: \u2220AOD = (x+10)<sup>\u00a00<\/sup>\u00a0, \u2220COD = x<sup>0<\/sup>\u00a0and \u2220BOC = (x + 20)<sup>\u00a00<\/sup><\/p>\n<p>( x + 10 ) + x + ( x + 20 ) = 180<\/p>\n<p>3x + 30 = 180<\/p>\n<p>3x = 180 \u2013 30<\/p>\n<p>x = 150\/3<\/p>\n<p>x = 50<sup>0<\/sup><\/p>\n<p>Now,<\/p>\n<p>\u2220AOD=(x+10) =50 + 10 = 60<\/p>\n<p>\u2220COD = x = 50<\/p>\n<p>\u2220BOC = (x+20) = 50 + 20 = 70<\/p>\n<p>Hence, \u2220AOD=60<sup>0<\/sup>, \u2220COD=50<sup>0<\/sup>\u00a0and \u2220BOC=70<sup>0<\/sup><\/p>\n<p><strong>Question 4: In figure, rays OA, OB, OC, OD and OE have the common end point 0. Show that \u2220AOB+\u2220BOC+\u2220COD+\u2220DOE+\u2220EOA=360\u00b0.<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-problem-4.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 problem 4\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given: Rays OA, OB, OC, OD and OE have the common endpoint O.<\/p>\n<p>Draw an opposite ray OX to ray OA, which make a straight line AX.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-3.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solutions 4\" \/><\/p>\n<p>From figure:<\/p>\n<p>\u2220AOB and \u2220BOX are linear pair angles, therefore,<\/p>\n<p>\u2220AOB +\u2220BOX = 180<sup>0<\/sup><\/p>\n<p>Or, \u2220AOB + \u2220BOC + \u2220COX = 180<sup>0<\/sup>\u00a0\u2014\u2013\u2014\u2013(1)<\/p>\n<p>Also,<\/p>\n<p>\u2220AOE and \u2220EOX are linear pair angles, therefore,<\/p>\n<p>\u2220AOE+\u2220EOX =180\u00b0<\/p>\n<p>Or, \u2220AOE + \u2220DOE + \u2220DOX = 180<sup>0<\/sup>\u00a0\u2014\u2013(2)<\/p>\n<p>By adding equations, (1) and (2), we get;<\/p>\n<p>\u2220AOB + \u2220BOC + \u2220COX + \u2220AOE + \u2220DOE + \u2220DOX = 180<sup>0<\/sup>\u00a0+ 180<sup>0<\/sup><\/p>\n<p>\u2220AOB + \u2220BOC + \u2220COD + \u2220DOE + \u2220EOA = 360<sup>0<\/sup><\/p>\n<p>Hence Proved.<\/p>\n<p><strong>Question 5 : In figure, \u2220AOC and \u2220BOC form a linear pair. If a \u2013 2b = 30\u00b0, find a and b?<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-4.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 5\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>Given : \u2220AOC and \u2220BOC form a linear pair.<\/p>\n<p>=&gt; a + b = 180<strong><sup>0\u00a0<\/sup><\/strong>\u2026..(1)<\/p>\n<p>a \u2013 2b = 30<sup>0<\/sup>\u00a0\u2026(2) (given)<\/p>\n<p>On subtracting equation (2) from (1), we get<\/p>\n<p>a + b \u2013 a + 2b = 180 \u2013 30<\/p>\n<p>3b = 150<\/p>\n<p>b = 150\/3<\/p>\n<p>b = 50<sup>0<\/sup><\/p>\n<p>Since, a \u2013 2b = 30<sup>0<\/sup><\/p>\n<p>a \u2013 2(50) = 30<\/p>\n<p>a = 30 + 100<\/p>\n<p>a = 130<sup>0<\/sup><\/p>\n<p>Therefore, the values of a and b are 130\u00b0 and 50\u00b0 respectively.<\/p>\n<p><strong>Question 6: How many pairs of adjacent angles are formed when two lines intersect at a point?<\/strong><\/p>\n<p><strong>Solution<\/strong>: Four pairs of adjacent angles are formed when two lines intersect each other at a single point.<\/p>\n<p>For example, Let two lines AB and CD intersect at point O.<\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-5.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 6\" \/><\/p>\n<p>The 4 pair of adjacent angles are :<\/p>\n<p>(\u2220AOD,\u2220DOB),(\u2220DOB,\u2220BOC),(\u2220COA, \u2220AOD) and (\u2220BOC,\u2220COA).<\/p>\n<p><strong>Question 7: How many pairs of adjacent angles, in all, can you name in figure given?<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-6.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 7\" \/><\/p>\n<p><strong>Solution<\/strong>: Number of Pairs of adjacent angles, from the figure, are :<\/p>\n<p>\u2220EOC and \u2220DOC<\/p>\n<p>\u2220EOD and \u2220DOB<\/p>\n<p>\u2220DOC and \u2220COB<\/p>\n<p>\u2220EOD and \u2220DOA<\/p>\n<p>\u2220DOC and \u2220COA<\/p>\n<p>\u2220BOC and \u2220BOA<\/p>\n<p>\u2220BOA and \u2220BOD<\/p>\n<p>\u2220BOA and \u2220BOE<\/p>\n<p>\u2220EOC and \u2220COA<\/p>\n<p>\u2220EOC and \u2220COB<\/p>\n<p>Hence, there are 10 pairs of adjacent angles.<\/p>\n<p><strong>Question 8: In figure, determine the value of x.<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-7.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 8\" \/><\/p>\n<p><strong>Solution<\/strong>:<\/p>\n<p>The sum of all the angles around a point O is equal to 360\u00b0.<\/p>\n<p>Therefore,<\/p>\n<p>3x + 3x + 150 + x = 360<sup>0<\/sup><\/p>\n<p>7x = 360<sup>0<\/sup>\u00a0\u2013 150<sup>0<\/sup><\/p>\n<p>7x = 210<sup>0<\/sup><\/p>\n<p>x = 210\/7<\/p>\n<p>x = 30<sup>0<\/sup><\/p>\n<p>Hence, the value of x is 30\u00b0.<\/p>\n<p><strong>Question 9: In figure, AOC is a line, find x.<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-8.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 9\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>From the figure, \u2220AOB and \u2220BOC are linear pairs,<\/p>\n<p>\u2220AOB +\u2220BOC =180\u00b0<\/p>\n<p>70 + 2x = 180<\/p>\n<p>2x = 180 \u2013 70<\/p>\n<p>2x = 110<\/p>\n<p>x = 110\/2<\/p>\n<p>x = 55<\/p>\n<p>Therefore, the value of x is 55<sup>0<\/sup>.<\/p>\n<p><strong>Question 10: In the figure, POS is a line, find x.<\/strong><\/p>\n<p><img title=\"RD Sharma Solutions Class 9 Lines And Angles\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2019\/10\/rd-sharma-class-9-maths-chapter-8-ex-8-2-solution-9.png\" alt=\"RD sharma class 9 maths chapter 8 ex 8.2 solution 10\" \/><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p>From figure, \u2220POQ and \u2220QOS are linear pairs.<\/p>\n<p>Therefore,<\/p>\n<p>\u2220POQ + \u2220QOS=180<sup>0<\/sup><\/p>\n<p>\u2220POQ + \u2220QOR+\u2220SOR=180<sup>0<\/sup><\/p>\n<p>60<sup>0<\/sup>\u00a0+ 4x +40<sup>0<\/sup>\u00a0= 180<sup>0<\/sup><\/p>\n<p>4x = 180<sup>0<\/sup>\u00a0-100<sup>0<\/sup><\/p>\n<p>4x = 80<sup>0<\/sup><\/p>\n<p>x = 20<sup>0<\/sup><\/p>\n<p>Hence, the value of x is 20<sup>0<\/sup>.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"fill-in-the-blanks-related-to-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\"><\/span><strong>Fill in the Blanks Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li>Suppose two parallel lines intersected by a transversal, then each pair of corresponding angles are_______.<\/li>\n<li>Two lines perpendicular to the same line are______ to each other.<\/li>\n<li>If a transversal meets a pair of lines in such a way that the sum of interior angles on the seine side of the transversal is 180\u00b0, then the lines are_______.<\/li>\n<li>Two lines parallel to the similar line are________ to each other.<\/li>\n<\/ol>\n<p>Answers to the above fill in the blanks-<\/p>\n<ol>\n<li>Equal<\/li>\n<li>Supplementary<\/li>\n<li>Parallel<\/li>\n<li>Parallel<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"faqs-related-to-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\"><\/span><strong style=\"font-size: 24px; background-color: initial;\">FAQs Related to RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1701404239370\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-an-example-of-a-linear-pair-of-angles\"><\/span><strong>What is an example of a linear pair of angles?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>A pair of scissors is a perfect example of a Linear Pair of angles. The sides of the scissors are adjacent to each other and have the usual vertex O, forming an angle of 180\u00b0 (180 degrees).<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1701404253832\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-angle-pair-relationships\"><\/span><strong>What are the angle pair relationships?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Pairs of angles can correlate to each other in various ways. For example- supplementary angles, complementary angles, vertical angles, alternate interior &amp; alternate exterior angles, adjacent angles, and corresponding angles.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1701404378658\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-download-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions-pdf-free\"><\/span>Can I download RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF free?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes, you can download the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions PDF for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1701404402105\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-benefits-of-studying-rd-sharma-chapter-8-class-9-maths-exercise-82-solutions\"><\/span>What are the benefits of studying RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>By practicing RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions, students can earn higher academic grades. Our experts solve these solutions with utmost accuracy to help students in their studies.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>In geometry, we frequently come across geometrical patterns consisting of angles that possess specific relations amid themselves. Here in the RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions, we will discuss the relations between the angles formed between lines, which is concerned under the Lines and Angles. Moreover, students will also learn about &#8230; <a title=\"RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions (2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-2-solutions\/\" aria-label=\"More on RD Sharma Chapter 8 Class 9 Maths Exercise 8.2 Solutions (2024)\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71974,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71971"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=71971"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71971\/revisions"}],"predecessor-version":[{"id":515171,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71971\/revisions\/515171"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71974"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71971"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71971"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71971"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}