{"id":72013,"date":"2023-09-13T15:17:00","date_gmt":"2023-09-13T09:47:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=72013"},"modified":"2023-12-01T10:48:06","modified_gmt":"2023-12-01T05:18:06","slug":"rd-sharma-chapter-8-class-9-maths-exercise-8-4-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-4-solutions\/","title":{"rendered":"RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions"},"content":{"rendered":"\n<p>In this article of RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions, we will explain to students some new angles made by a transversal with two given lines. This means we will learn about the intersecting two parallel lines. The exercise comprises topics like- alternate interior angles, corresponding angles axiom, and consecutive interior angles. RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions consists of the Lines and Angles, though the topics mentioned above describe the same in various forms.<\/p>\n<p>The PDF attached to this article has various problems based on the topics that come under Exercise 8.4 of Chapter 8 Class 9. The solution to each question mentioned is provided with a complete explanation and proof. Students will also learn about the tips to understand the question and to solve it efficiently. Students have free access to download the PDF to do the practice.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-8-lines-and-angles\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Click Here<\/strong><\/a><strong> to learn about Lines and Angles<\/strong><\/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-69d74fa3b0486\" 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-69d74fa3b0486\"><\/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-8-4-solutions\/#download-rd-sharma-chapter-8-class-9-maths-exercise-84-solutions-pdf\" title=\"Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions PDF\">Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 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-8-4-solutions\/#important-definition-rd-sharma-chapter-8-class-9-maths-exercise-84-solutions\" title=\"Important Definition RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions\">Important Definition RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-4-solutions\/#corresponding-angles\" title=\"Corresponding Angles\">Corresponding Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-4-solutions\/#consecutive-interior-angles\" title=\"Consecutive Interior Angles\">Consecutive Interior Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-4-solutions\/#alternate-interior-angles\" title=\"Alternate Interior Angles\">Alternate Interior Angles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-4-solutions\/#alternate-exterior-angles\" title=\"Alternate Exterior Angles\">Alternate Exterior Angles<\/a><\/li><\/ul><\/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-8-4-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-8-class-9-maths-exercise-84-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-8-class-9-maths-exercise-84-solutions-pdf\"><\/span>Download RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/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\/02\/Solutions-for-Class-9-Maths-Chapter-8-Lines-and-Angles-Exercise-8.4.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-8-Lines-and-Angles-Exercise-8.4.pdf\">Solutions for Class 9 Maths Chapter 8 Lines and Angles Exercise 8.4<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-rd-sharma-chapter-8-class-9-maths-exercise-84-solutions\"><\/span>Important Definition RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Go down to get the important definitions, explanations, and illustrations on the topics-<\/p>\n<ol>\n<li>Angles made by a transversal with two lines<\/li>\n<li>Alternate interior angles<\/li>\n<li>Consecutive interior angles<\/li>\n<li>Corresponding angles axiom<\/li>\n<\/ol>\n<p>When a line converges two lines at distinguished points, it is known as a transversal.<\/p>\n<p>In the figure below, the line \u2018n\u2019 is a transversal cutting line \u201cl\u2019 and \u2018m\u2019.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"corresponding-angles\"><\/span><strong>Corresponding Angles<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>When a transversal cuts two or more lines, the angles that occupy the equivalent relative position are called corresponding angles.<\/p>\n<p>From the above figure, the pairs of corresponding angles are:<\/p>\n<ol>\n<li>\u22201 and \u22205<\/li>\n<li>\u22202 and \u22206<\/li>\n<li>\u22203 and \u22207<\/li>\n<li>\u22204 and \u22208<\/li>\n<\/ol>\n<p>When the lines are parallel, the corresponding angles are congruent.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"consecutive-interior-angles\"><\/span><strong>Consecutive Interior Angles<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>When a transversal forms two lines, the pairs of angles on one side of the transversal and inside the two lines are known as the consecutive interior angles.<\/p>\n<p>If transversal forms two parallel lines, the pairs of consecutive interior angles made are supplementary.<\/p>\n<p>From the above figure, the consecutive interior angles are-<\/p>\n<ol>\n<li>\u22203 and \u22206<\/li>\n<li>\u22204 and \u22205<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"alternate-interior-angles\"><\/span><strong>Alternate Interior Angles<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>When a transversal forms two lines, the pairs of angles on each side of the transversal and inside the two lines are known as the alternate interior angles.<\/p>\n<p>If a transversal forms two parallel lines, the alternate interior angles made are congruent.<\/p>\n<p>From the above figure, the alternate interior angles are-<\/p>\n<ol>\n<li>\u22203 and \u22205<\/li>\n<li>\u22204 and \u22206<\/li>\n<\/ol>\n<h4><span class=\"ez-toc-section\" id=\"alternate-exterior-angles\"><\/span><strong>Alternate Exterior Angles<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>When a transversal forms two lines, the pairs of angles on each side of the transversal and outside the two lines are known as the alternate exterior angles.<\/p>\n<p>If a transversal forms two parallel lines, the alternate exterior angles made are congruent.<\/p>\n<p>From the above figure, the alternate exterior angles are:<\/p>\n<ol>\n<li>\u22202 and \u22208<\/li>\n<li>\u22201 and \u22207<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-8-class-9-maths-exercise-84-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1- How many angles are formed by two lines and a transversal?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Eight Angles. When a transversal meets with two parallel lines, eight angles are created. The eight angles will unitedly create four pairs of corresponding angles.<\/p>\n<p><strong>Ques 2- What angles are formed by parallel lines?<\/strong><\/p>\n<p><strong>Ans-<\/strong> The corresponding angles are congruent when the lines are parallel. When a transversal forms two lines, the pairs of angles on each side of the transversal and inside the two lines are known as the consecutive interior angles.<\/p>\n<p><strong>Ques 3- What are two parallel lines cut by a transversal?<\/strong><\/p>\n<p><strong>Ans-<\/strong> If a transversal cuts two parallel lines, then the pairs of alternate exterior angles are congruent. If a transversal forms two parallel lines, then the consecutive interior angles are supplementary.<\/p>\n<p><a href=\"https:\/\/cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about the CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this article of RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions, we will explain to students some new angles made by a transversal with two given lines. This means we will learn about the intersecting two parallel lines. The exercise comprises topics like- alternate interior angles, corresponding angles axiom, and consecutive interior &#8230; <a title=\"RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-8-class-9-maths-exercise-8-4-solutions\/\" aria-label=\"More on RD Sharma Chapter 8 Class 9 Maths Exercise 8.4 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":72026,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2917,73719,73411,2985],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72013"}],"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=72013"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72013\/revisions"}],"predecessor-version":[{"id":510080,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72013\/revisions\/510080"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/72026"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=72013"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=72013"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=72013"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}