{"id":719771,"date":"2024-05-29T12:24:13","date_gmt":"2024-05-29T06:54:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=719771"},"modified":"2025-05-29T13:58:15","modified_gmt":"2025-05-29T08:28:15","slug":"cbse-class-7-lines-and-angles-worksheet-with-solutions","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/","title":{"rendered":"CBSE Class 7 Lines And Angles Worksheet With Solutions"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/#Lines_and_Angles_Worksheet_1_With_Solutions\" title=\"Lines and Angles Worksheet 1 With Solutions\">Lines and Angles Worksheet 1 With Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/#Solutions\" title=\"Solutions\">Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/#CBSE_Worksheets_for_Class_7_for_All_Subjects\" title=\"CBSE Worksheets for Class 7 for All Subjects\">CBSE Worksheets for Class 7 for All Subjects<\/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:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/#Lines_and_Angles_Worksheet_2_With_Solutions\" title=\"Lines and Angles Worksheet 2 With Solutions\">Lines and Angles Worksheet 2 With Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/#Section_1_Multiple_Choice_Questions\" title=\"Section 1: Multiple Choice Questions\">Section 1: Multiple Choice Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/#Section_2_Short_Answer_Questions\" title=\"Section 2: Short Answer Questions\">Section 2: Short Answer Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/worksheets-class-7-maths\/lines-and-angles\/#Section_3_Long_Answer_Questions\" title=\"Section 3: Long Answer Questions\">Section 3: Long Answer Questions<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p><span class=\"\"><strong>Lines and angles<\/strong> are fundamental concepts in geometry that are essential for understanding more complex shapes and figures. In this worksheet, students will explore the properties of lines and angles, learn how to classify them, and solve problems related to their relationships. By mastering these concepts, students will develop a strong foundation in geometry and problem-solving skills.<\/span><\/p>\n<h2 class=\"mb-2 mt-6 text-lg first:mt-3\"><span class=\"ez-toc-section\" id=\"Lines_and_Angles_Worksheet_1_With_Solutions\"><\/span>Lines and Angles Worksheet 1 With Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\">\n<li><span class=\"\"><strong>Define the following terms:<\/strong><br \/>\na. Line<br \/>\nb. Ray<br \/>\nc. Line segment<br \/>\nd. Angle<\/span><\/li>\n<li><span class=\"\"><strong>Classify the following lines as parallel, intersecting, or perpendicular:<\/strong><br \/>\na. Two lines that have no common point<br \/>\nb. Two lines that have exactly one common point<br \/>\nc. Two lines that form <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/right-angle\/\"><strong>right angles<\/strong><\/a><\/span><\/li>\n<li><span class=\"\"><strong>Identify the type of angle formed by the following pairs of lines:<\/strong><br \/>\na. Two intersecting lines<br \/>\nb. Two parallel lines cut by a transversal<br \/>\nc. Two <strong><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/perpendicular-lines-in-geometry\/\">perpendicular lines<\/a><\/strong><\/span><\/li>\n<li><span class=\"\">Find the measure of the angle formed by the hands of a clock at 3:00 PM.<\/span><\/li>\n<li><span class=\"\">If two angles are supplementary, what is the sum of their measures?<\/span><\/li>\n<li><span class=\"\">If two angles are complementary, what is the sum of their measures?<\/span><\/li>\n<li><span class=\"\">Find the measure of an angle that is 30\u00b0 less than another angle.<\/span><\/li>\n<li><span class=\"\">If the measure of an angle is three times the measure of another angle, and their sum is 180\u00b0, find the measure of each angle.<\/span><\/li>\n<li><span class=\"\">Two angles are in the ratio 3:5. If their sum is 120\u00b0, find the measure of each angle.<\/span><\/li>\n<li><span class=\"\">Find the measure of an angle that is 45\u00b0 more than another angle.<\/span><\/li>\n<\/ol>\n<h3 class=\"mb-2 mt-6 text-lg first:mt-3\"><span class=\"ez-toc-section\" id=\"Solutions\"><\/span>Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\">\n<li><span class=\"\"><strong>Definitions<\/strong><br \/>\na. Line: A line is a straight path that extends infinitely in both directions.<br \/>\nb. Ray: A ray is a part of a line that has one endpoint and extends infinitely in one direction.<br \/>\nc. Line segment: A line segment is a part of a line that has two endpoints and a definite length.<br \/>\nd. <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/types-of-angles\/\"><strong>Angle<\/strong><\/a>: An angle is the figure formed by two rays that share a common endpoint called the vertex.<\/span><\/li>\n<li><span class=\"\"><strong>Classifying lines:<\/strong><br \/>\na. <strong>Parallel lines<\/strong>: Two lines that have no common point<br \/>\nb. Intersecting lines: Two lines that have exactly one common point<br \/>\nc. Perpendicular lines: Two lines that form right angles<\/span><\/li>\n<li><span class=\"\"><strong>Identifying angle types:<\/strong><br \/>\na. Intersecting lines form adjacent angles and vertical angles.<br \/>\nb. Parallel lines cut by a transversal form alternate interior angles, alternate exterior angles, corresponding angles, and interior angles on the same side of the transversal.<br \/>\nc. Perpendicular lines form right angles.<\/span><\/li>\n<li><span class=\"\">Angle formed by clock hands at 3:00 PM: 90\u00b0<\/span><\/li>\n<li><span class=\"\">Sum of supplementary angles: 180\u00b0<\/span><\/li>\n<li><span class=\"\">Sum of complementary angles: 90\u00b0<\/span><\/li>\n<li><span class=\"\">Angle that is 30\u00b0 less than another angle: (x &#8211; 30)\u00b0<\/span><\/li>\n<li><span class=\"\">Measure of each angle: 45\u00b0<\/span><\/li>\n<li><span class=\"\">Measure of each angle: 48\u00b0 and 72\u00b0<\/span><\/li>\n<li><span class=\"\">Angle that is 45\u00b0 more than another angle: (x + 45)\u00b0<\/span><\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"CBSE_Worksheets_for_Class_7_for_All_Subjects\"><\/span>CBSE Worksheets for Class 7 for All Subjects<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li><a href=\"https:\/\/infinitylearn.com\/surge\/worksheet-class-7-maths\/\"><strong>Worksheets for Class 7 Maths<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/infinitylearn.com\/surge\/worksheet-class-7-english\/\"><strong>Worksheets for Class 7 English<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/infinitylearn.com\/surge\/worksheet-class-7-science\/\"><strong>Worksheets for Class 7 Science<\/strong><\/a><\/li>\n<\/ul>\n<h2 class=\"mb-2 mt-6 text-lg first:mt-3\"><span class=\"ez-toc-section\" id=\"Lines_and_Angles_Worksheet_2_With_Solutions\"><\/span>Lines and Angles Worksheet 2 With Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"Section_1_Multiple_Choice_Questions\"><\/span><span class=\"\">Section 1: Multiple Choice Questions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\">\n<li><span class=\"\">What is the sum of the measures of two <strong>complementary angles<\/strong>?<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">a) 90\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">b) 180\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">c) 360\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">d) 450\u00b0<\/span><\/li>\n<\/ol>\n<p><span class=\"\">Answer: a) 90\u00b0<\/span><\/p>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\" start=\"2\">\n<li><span class=\"\">What is the sum of the measures of two <strong>supplementary angles<\/strong>?<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">a) 90\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">b) 180\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">c) 360\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">d) 450\u00b0<\/span><\/li>\n<\/ol>\n<p><span class=\"\">Answer: b) 180\u00b0<\/span><\/p>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\" start=\"3\">\n<li><span class=\"\">What is the measure of an angle that is supplementary to 75\u00b0?<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">a) 75\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">b) 105\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">c) 120\u00b0<\/span><span class=\"\"><br \/>\n<\/span><span class=\"\">d) 150\u00b0<\/span><\/li>\n<\/ol>\n<p><span class=\"\">Answer: b) 105\u00b0<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Section_2_Short_Answer_Questions\"><\/span><span class=\"\">Section 2: Short Answer Questions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\">\n<li><strong><span class=\"\">Find the measure of an angle that is complementary to 45\u00b0.<\/span><\/strong><\/li>\n<\/ol>\n<p><span class=\"\"><strong>Solution:<\/strong> The measure of the complementary angle is 45\u00b0.<\/span><\/p>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\" start=\"2\">\n<li><strong><span class=\"\">Find the measure of an angle that is supplementary to 120\u00b0.<\/span><\/strong><\/li>\n<\/ol>\n<p><span class=\"\"><strong>Solution:<\/strong> The measure of the supplementary angle is 60\u00b0.<\/span><\/p>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\" start=\"3\">\n<li><strong><span class=\"\">Identify the pairs of adjacent angles in the figure below.<\/span><\/strong><\/li>\n<\/ol>\n<p><span class=\"\"><strong>Solution:<\/strong> The pairs of adjacent angles are \u2220AOE and \u2220EOC, \u2220EOC and \u2220COB, \u2220AOC and \u2220COB, \u2220COB and \u2220BOD, and \u2220EOB and \u2220BOD.<\/span><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Section_3_Long_Answer_Questions\"><\/span><span class=\"\">Section 3: Long Answer Questions<\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\">\n<li><strong><span class=\"\">In the figure below, \u2220ROS is a right angle and \u2220POR and \u2220QOS are in the ratio 1 : 5. Find the measure of \u2220QOS.<\/span><\/strong><\/li>\n<\/ol>\n<p><span class=\"\"><strong>Solution:<\/strong> \u2220POR and \u2220QOS are in the ratio 1 : 5. Therefore, \u2220QOS = 5 \u00d7 \u2220POR. Since \u2220ROS is a right angle, \u2220POR + \u2220QOS = 90\u00b0. Therefore, \u2220QOS = 5 \u00d7 \u2220POR = 5 \u00d7 (90\u00b0 &#8211; \u2220POR) = 450\u00b0 &#8211; 5 \u00d7 \u2220POR. This equation can be solved for \u2220POR, and then \u2220QOS can be found.<\/span><\/p>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\" start=\"2\">\n<li><strong><span class=\"\">Find the measure of an angle that is supplementary to 27\u00b0.<\/span><\/strong><\/li>\n<\/ol>\n<p><span class=\"\"><strong>Solution:<\/strong> The measure of the supplementary angle is 153\u00b0.<\/span><\/p>\n<ol class=\"list-decimal marker:font-mono marker:text-sm pl-11\" start=\"3\">\n<li><strong><span class=\"\">In the figure below, if QP || SR, find the value of a.<\/span><\/strong><\/li>\n<\/ol>\n<p><span class=\"\"><strong>Solution:<\/strong> Since QP || SR, \u2220QOS and \u2220TSO are co-interior angles. Therefore, \u2220QOS = \u2220TSO. Also, \u2220QOS + \u2220TSO = 180\u00b0. Therefore, a = 85\u00b0.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lines and angles are fundamental concepts in geometry that are essential for understanding more complex shapes and figures. In this [&hellip;]<\/p>\n","protected":false},"author":52,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"lines and angles class 7 worksheet with solutions","_yoast_wpseo_title":"Lines And Angles Class 7 Worksheet With Solutions | IL","_yoast_wpseo_metadesc":"Practice lines and angles problems with solutions in this Class 7 worksheet to enhance geometry skills effectively.","custom_permalink":"worksheets-class-7-maths\/lines-and-angles\/"},"categories":[11033],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Lines And Angles Class 7 Worksheet With Solutions | IL<\/title>\n<meta name=\"description\" content=\"Practice lines and angles problems with solutions in this Class 7 worksheet to enhance geometry skills effectively.\" \/>\n<meta name=\"robots\" content=\"index, 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