{"id":71983,"date":"2021-02-04T15:17:41","date_gmt":"2021-02-04T09:47:41","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71983"},"modified":"2021-02-04T15:17:53","modified_gmt":"2021-02-04T09:47:53","slug":"rd-sharma-chapter-8-class-9-maths-exercise-8-3-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-3-solutions\/","title":{"rendered":"RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions is based on the vertically opposite angles this concerns 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\"><strong>Lines and Angles<\/strong><\/a>. The Vertically Opposite Angles are formed when the two lines cross. Vertical attributes to the Vertex, where they cross. With the help of this article, students will learn more about the Vertically Opposite Angles with illustrations, the theorem, and the proof.<\/p>\n<p>The PDF attached to this article is prepared by our experts. The questions are solved with tricks and shortcuts. Also, the tips to solve the questions are mentioned with the solutions to the problems. Students get to solve the various questions of RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions. Learners can download the PDF and do the practice for the exam by these problems, which are available with the solutions.<\/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-69ea1b13002bb\" 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: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69ea1b13002bb\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-3-solutions\/#download-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions-pdf\" title=\"Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions PDF\">Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 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-8-3-solutions\/#important-definition-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions\" title=\"Important Definition RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions\">Important Definition RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 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-8-3-solutions\/#examples-related-to-the-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions\" title=\"Examples Related to the RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions\">Examples Related to the RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-3-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions-pdf\"><\/span>Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 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-8.3.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-8.3.pdf\">Solutions for Class 9 Maths Chapter 8 Lines and Angles Exercise 8.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions\"><\/span>Important Definition RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>As we discussed above, the vertical angles are set when two lines meet each other at a point. There are two vertical angles, which are opposite to each other after the intersection of two lines.<\/p>\n<p>A pair of vertically opposite angles are perpetually equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they sum to 180 degrees. For example, if two lines intersect and form an angle, say A=45\u00b0, its opposite angle is equivalent to 45\u00b0. And the angle adjacent to angle A is equivalent to 180 \u2013 45 = 135\u00b0.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"examples-related-to-the-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions\"><\/span>Examples Related to the RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ques 1-\u00a0 In the given figure, find the measure of unknown angles.<\/p>\n<p><img class=\"alignnone size-full wp-image-71984 aligncenter\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/fig-3.png\" alt=\"RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions\" width=\"284\" height=\"225\" \/><\/p>\n<ol>\n<li>\u22203= 60\u00b0 vertically opposite angles<\/li>\n<li>\u22202 = 90\u00b0 vertically opposite angles<\/li>\n<li>\u22202 + \u22201 + 60\u00b0 = 180\u00b0 (straight angle), 90\u00b0 + \u2220 1 + 60\u00b0 = 180\u00b0, 150\u00b0 + \u2220 1 = 180\u00b0 \u22201 = 180\u00b0 \u2014 150\u00b0 = 30\u00b0<\/li>\n<li>\u22201 = \u22204 vertically opposite angles. So, \u22204 = 30\u00b0<\/li>\n<\/ol>\n<p>Ques 2- If p = 30 degrees (30\u00b0) is a vertical angle when two lines intersect. Find all the angles?<\/p>\n<p>Solution-<\/p>\n<p>Given, vertical angle, p = 30<\/p>\n<p>Let y is the angle vertically opposite to p, then q = 30 degrees (30\u00b0)<\/p>\n<p>Now, as we know, vertical angle and its adjacent angle sum 180\u00b0 (180 degrees)<\/p>\n<p>So, the other two angles are- 180\u00b0 \u2013 30\u00b0 = 150\u00b0 (150 degrees).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-8-class-9-maths-exercise-83-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1- How to measure vertical angles?<\/strong><\/p>\n<p><strong>Ans-<\/strong> If the angle next to the vertical angle is provided to us, we can deduct it from 180\u00b0 to get the vertical angle pattern because the vertical angle and its adjacent angle are supplementary to each other.<\/p>\n<p><strong>Ques 2- Are vertical angles equal to each other?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Vertical angles are perpetually equal to one another. The two pairs of vertical angles are set when two lines intersect.<\/p>\n<p><strong>Ques 3- Why are vertically opposite angles equal?<\/strong><\/p>\n<p><strong>Ans-<\/strong> When two lines intersect, they set two pairs of opposite angles, P + R and Q + S. Another name for opposite angles is vertical angles. Vertical angles are evermore congruent, which means they are equivalent. Adjacent angles come out of the same vertex.<\/p>\n<p><strong>Ques 4- Can two vertical angles be supplementary?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Yes, two vertical angles can be supplementary, but only in definite cases. Supplementary angles have measures that sum up to 180\u00b0.<\/p>\n<p><strong>Ques 5- Can vertical angles be 90 degrees?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Vertical angles are opposite each other when two lines meet. The two pairs of opposite angles are equivalent to each other. The two pairs of adjacent angles are supplementary, meaning they sum up to 180\u00b0. Complementary angles are two angles that sum up to 90\u00b0 (90 degrees).<\/p>\n<p><a href=\"https:\/\/cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions is based on the vertically opposite angles this concerns under the Lines and Angles. The Vertically Opposite Angles are formed when the two lines cross. Vertical attributes to the Vertex, where they cross. With the help of this article, students will learn more about the &#8230; <a title=\"RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-3-solutions\/\" aria-label=\"More on RD Sharma Chapter 8 Class 9 Maths Exercise 8.3 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71985,"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\/71983"}],"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=71983"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71983\/revisions"}],"predecessor-version":[{"id":73414,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71983\/revisions\/73414"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71985"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71983"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71983"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71983"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}