{"id":4302,"date":"2016-05-13T11:49:00","date_gmt":"2016-05-13T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-7-maths-lines-and-angles-ex-5-1\/"},"modified":"2018-07-07T09:54:04","modified_gmt":"2018-07-07T04:24:04","slug":"ncert-solutions-for-class-7-maths-exercise-5-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Exercise 5.1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 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\" style=\"cursor:inherit\">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=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-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:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#NCERT_Solutions_for_Class_7_Maths_Lines_and_Angles\" >NCERT Solutions for Class 7 Maths\u00a0Lines and Angles<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Class_%E2%80%93VII_Mathematics_Ex_51\" >Class \u2013VII Mathematics (Ex. 5.1)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_1Find_the_complement_of_each_of_the_following_angles\" >Question 1.Find the complement of each of the following angles:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_2Find_the_supplement_of_each_of_the_following_angles\" >Question 2.Find the supplement of each of the following angles:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_3Identify_which_of_the_following_pairs_of_angles_are_complementary_and_which_are_supplementary\" >Question 3.Identify which of the following pairs of angles are complementary and which are supplementary:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_4Find_the_angle_which_is_equal_to_its_complement\" >Question 4.Find the angle which is equal to its complement:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_5Find_the_angle_which_is_equal_to_its_supplement\" >Question 5.Find the angle which is equal to its supplement.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_6In_the_given_figure_texangle_tex1_and_texangle_tex2_are_supplementary_angles_If_texangle_tex1_is_decreased_what_changes_should_take_place_in_texangle_tex2_so_that_both_the_angles_still_remain_supplementary\" >Question 6.In the given figure, {tex}\\angle {\/tex}1 and {tex}\\angle {\/tex}2 are supplementary angles. If {tex}\\angle {\/tex}1 is decreased, what changes should take place in {tex}\\angle {\/tex}2 so that both the angles still remain supplementary?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_7Can_two_angles_be_supplementary_if_both_of_them_are\" >Question 7.Can two angles be supplementary if both of them are:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_8_An_angle_is_greater_than_tex45_circ_tex_Is_its_complementary_angle_greater_than_tex45_circ_tex_or_equal_to_tex45_circ_tex_or_less_than_tex45_circ_tex\" >Question 8. An angle is greater than {tex}{45^ \\circ }.{\/tex} Is its complementary angle greater than {tex}{45^ \\circ }{\/tex} or equal to {tex}{45^ \\circ }{\/tex} or less than {tex}{45^ \\circ }?{\/tex}<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_9In_the_adjoining_figure\" >Question 9.In the adjoining figure:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_10Indicate_which_pairs_of_angles_are\" >Question 10.Indicate which pairs of angles are:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_12Find_the_values_of_the_angles_texxytex_and_texztex_in_each_of_the_following\" >Question 12.Find the values of the angles {tex}x,y{\/tex} and {tex}z{\/tex} in each of the following:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_13Fill_in_the_blanks\" >Question 13.Fill in the blanks:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#Question_14In_the_adjoining_figure_name_the_following_pairs_of_angles\" >Question 14.In the adjoining figure, name the following pairs of angles:<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#NCERT_Solutions_for_Class_7_Maths_Exercise_51\" >NCERT Solutions for Class 7 Maths Exercise 5.1<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-5-1\/#CBSE_app_for_Students\" >CBSE app for Students<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 7 Maths Exercise 5.1 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Maths\u00a0Lines and Angles <\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-07-mathematics-lines-and-angles\/1514\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/07_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 7 Maths Exercise 5.1\" width=\"164\" height=\"208\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Lines_and_Angles\"><\/span>NCERT Solutions for Class 7 Maths\u00a0Lines and Angles<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VII_Mathematics_Ex_51\"><\/span><strong>Class \u2013VII Mathematics (Ex. 5.1)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"Question_1Find_the_complement_of_each_of_the_following_angles\"><\/span><strong>Question 1.<\/strong>Find the complement of each of the following angles:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_01.png\" width=\"318\" height=\"90\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>Complementary angle = {tex}{90^ \\circ } &#8211; {\/tex} given angle<\/p>\n<p>(i) Complement of {tex}{20^ \\circ }{\/tex} = {tex}{90^ \\circ } &#8211; {20^ \\circ } = {70^ \\circ }{\/tex}<\/p>\n<p>(ii) Complement of {tex}{63^ \\circ }{\/tex} = {tex}{90^ \\circ } &#8211; {63^ \\circ } = {27^ \\circ }{\/tex}<\/p>\n<p>Complement of {tex}{57^ \\circ }{\/tex} = {tex}{90^ \\circ } &#8211; {57^ \\circ } = {33^ \\circ }{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_2Find_the_supplement_of_each_of_the_following_angles\"><\/span><strong>Question 2.<\/strong>Find the supplement of each of the following angles:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_02.png\" width=\"347\" height=\"86\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>Supplementary angle = {tex}{180^ \\circ } &#8211; {\/tex} given angle<\/p>\n<p>(i) Supplement of {tex}{105^ \\circ }{\/tex} = {tex}{180^ \\circ } &#8211; {105^ \\circ } = {75^ \\circ }{\/tex}<\/p>\n<p>(ii) Supplement of {tex}{87^ \\circ }{\/tex} = {tex}{180^ \\circ } &#8211; {87^ \\circ } = {93^ \\circ }{\/tex}<\/p>\n<p>Supplement of {tex}{154^ \\circ }{\/tex} = {tex}{180^ \\circ } &#8211; {154^ \\circ } = {26^ \\circ }{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_3Identify_which_of_the_following_pairs_of_angles_are_complementary_and_which_are_supplementary\"><\/span><strong>Question 3.<\/strong>Identify which of the following pairs of angles are complementary and which are supplementary:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(i) {tex}65^\\circ ,115^\\circ {\/tex}<\/p>\n<p>(ii) {tex}63^\\circ ,27^\\circ {\/tex}<\/p>\n<p>(iii) {tex}112^\\circ ,68^\\circ {\/tex}<\/p>\n<p>(iv) {tex}130^\\circ ,50^\\circ {\/tex}<\/p>\n<p>(v) {tex}45^\\circ ,45^\\circ {\/tex}<\/p>\n<p>(vi) {tex}80^\\circ ,10^\\circ {\/tex}<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>If sum of two angles is {tex}{180^ \\circ }{\/tex}, then they are called supplementary angles.<\/p>\n<p>If sum of two angles is {tex}{90^ \\circ },{\/tex} then they are called complementary angles.<\/p>\n<p>(i) {tex}65^\\circ + 115^\\circ = 180^\\circ {\/tex} These are supplementary angles.<\/p>\n<p>(ii) {tex}63^\\circ + 27^\\circ = 90^\\circ {\/tex} These are complementary angles.<\/p>\n<p>(iii) {tex}112^\\circ + 68^\\circ = 180^\\circ {\/tex} These are supplementary angles.<\/p>\n<p>(iv) {tex}130^\\circ + 50^\\circ = 180^\\circ {\/tex} These are supplementary angles.<\/p>\n<p>(v) {tex}{45^ \\circ } + {45^ \\circ } = {90^ \\circ }{\/tex} These are complementary angles.<\/p>\n<p>(vi) {tex}80^\\circ + 10^\\circ = 90^\\circ {\/tex} These are complementary angles.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_4Find_the_angle_which_is_equal_to_its_complement\"><\/span><strong>Question 4.<\/strong>Find the angle which is equal to its complement:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>Let one of the two equal complementary angles be {tex}x.{\/tex}<\/p>\n<p>{tex}\\therefore {\/tex} {tex}x + x = {90^ \\circ }{\/tex} {tex} \\Rightarrow {\/tex} {tex}2x = {90^ \\circ }{\/tex}{tex} \\Rightarrow {\/tex} {tex}x = \\frac{{{{90}^ \\circ }}}{2} = {45^ \\circ }{\/tex}<\/p>\n<p>Thus, {tex}{45^ \\circ }{\/tex} is equal to its complement.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_5Find_the_angle_which_is_equal_to_its_supplement\"><\/span><strong>Question 5.<\/strong>Find the angle which is equal to its supplement.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>Let {tex}x{\/tex} be two equal angles of its supplement.<\/p>\n<p>Therefore, {tex}x + x = 180^\\circ {\/tex} [Supplementary angles]\n<p>{tex} \\Rightarrow {\/tex} {tex}2x = 180^\\circ {\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex}x = \\frac{{180^\\circ }}{2} = {90^ \\circ }{\/tex}<\/p>\n<p>Thus, {tex}{90^ \\circ }{\/tex} is equal to its supplement.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_6In_the_given_figure_texangle_tex1_and_texangle_tex2_are_supplementary_angles_If_texangle_tex1_is_decreased_what_changes_should_take_place_in_texangle_tex2_so_that_both_the_angles_still_remain_supplementary\"><\/span><strong>Question 6.<\/strong>In the given figure, {tex}\\angle {\/tex}1 and {tex}\\angle {\/tex}2 are supplementary angles. If {tex}\\angle {\/tex}1 is decreased, what changes should take place in {tex}\\angle {\/tex}2 so that both the angles still remain supplementary?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_03.jpg\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>I f{tex}\\angle {\/tex}1 is decreased then, {tex}\\angle {\/tex}2 will increase with the same measure, so that both the angles still remain supplementary.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_7Can_two_angles_be_supplementary_if_both_of_them_are\"><\/span><strong>Question 7.<\/strong>Can two angles be supplementary if both of them are:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(i) acute<\/p>\n<p>(ii) obtuse<\/p>\n<p>(iii) right?<\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) No, because sum of two acute angles is less than {tex}180^\\circ .{\/tex}<\/p>\n<p>(ii) No, because sum of two obtuse angles is more than {tex}180^\\circ .{\/tex}<\/p>\n<p>(iii) Yes, because sum of two right angles is {tex}180^\\circ .{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_8_An_angle_is_greater_than_tex45_circ_tex_Is_its_complementary_angle_greater_than_tex45_circ_tex_or_equal_to_tex45_circ_tex_or_less_than_tex45_circ_tex\"><\/span><strong>Question 8.<\/strong> An angle is greater than {tex}{45^ \\circ }.{\/tex} Is its complementary angle greater than {tex}{45^ \\circ }{\/tex} or equal to {tex}{45^ \\circ }{\/tex} or less than {tex}{45^ \\circ }?{\/tex}<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer:<\/strong><\/p>\n<p>Let the complementary angles be {tex}x{\/tex} and {tex}y,{\/tex} i.e., {tex}x + y = {90^ \\circ }{\/tex}<\/p>\n<p>It is given that {tex}x &gt; {45^ \\circ }{\/tex}<\/p>\n<p>Adding {tex}y{\/tex} both sides, {tex}x + y &gt; {45^ \\circ } + y{\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex}{90^ \\circ } &gt; {45^ \\circ } + y{\/tex} {tex} \\Rightarrow {\/tex} {tex}{90^ \\circ } &#8211; {45^ \\circ } &gt; y{\/tex}{tex} \\Rightarrow {\/tex} {tex}y &lt; {45^ \\circ }{\/tex}<\/p>\n<p>Thus, its complementary angle is less than {tex}{45^ \\circ }.{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_9In_the_adjoining_figure\"><\/span><strong>Question 9.<\/strong>In the adjoining figure:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_04.jpg\" \/><\/p>\n<ol>\n<li>Is {tex}\\angle {\/tex}1 adjacent to {tex}\\angle {\/tex}2?<\/li>\n<li>Is {tex}\\angle {\/tex}AOC adjacent to {tex}\\angle {\/tex}AOE?<\/li>\n<li>Do {tex}\\angle {\/tex}COE and {tex}\\angle {\/tex}EOD form a linear pair?<\/li>\n<li>Are {tex}\\angle {\/tex}BOD and {tex}\\angle {\/tex}DOA supplementary?<\/li>\n<li>Is {tex}\\angle {\/tex}1 vertically opposite to {tex}\\angle {\/tex}4?<\/li>\n<li>What is the vertically opposite angle of {tex}\\angle {\/tex}5?<\/li>\n<\/ol>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) Yes, in {tex}\\angle {\/tex}AOE, OC is common arm.<\/p>\n<p>(ii) No, they have no non-common arms on opposite side of common arm.<\/p>\n<p>(iii) Yes, they form linear pair.<\/p>\n<p>(iv) Yes, they are supplementary.<\/p>\n<p>(v) Yes, they are vertically opposite angles.<\/p>\n<p>(vi) Vertically opposite angles of {tex}\\angle {\/tex}5 is {tex}\\angle {\/tex}COB.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_10Indicate_which_pairs_of_angles_are\"><\/span><strong>Question 10.<\/strong>Indicate which pairs of angles are:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_05.png\" \/><\/p>\n<ol>\n<li>Vertically opposite angles?<\/li>\n<li>Linear pairs?<\/li>\n<\/ol>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) Vertically opposite angles, {tex}\\angle {\/tex}1, {tex}\\angle {\/tex}4; {tex}\\angle {\/tex}5, {tex}\\angle {\/tex}2 + {tex}\\angle {\/tex}3.<\/p>\n<p>(ii) Linear pairs {tex}\\angle {\/tex}1, {tex}\\angle {\/tex}5; {tex}\\angle {\/tex}5, {tex}\\angle {\/tex}4.<\/p>\n<p><strong>Question 11.<\/strong>In the following figure, is {tex}\\angle {\/tex}1 adjacent to {tex}\\angle {\/tex}2? Give reasons.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_06.png\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>{tex}\\angle {\/tex}1 and {tex}\\angle {\/tex}2 are not adjacent angles because their vertex is not common.<\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"Question_12Find_the_values_of_the_angles_texxytex_and_texztex_in_each_of_the_following\"><\/span><strong>Question 12.<\/strong>Find the values of the angles {tex}x,y{\/tex} and {tex}z{\/tex} in each of the following:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_07.png\" width=\"360\" height=\"109\" \/><\/p>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) {tex}x = 55^\\circ {\/tex} [Vertically opposite angles]\n<p>Now {tex}55^\\circ + y = 180^\\circ {\/tex} [Linear pair]\n<p>{tex} \\Rightarrow {\/tex} {tex}y = 180^\\circ &#8211; 55^\\circ = 125^\\circ {\/tex}<\/p>\n<p>Also {tex}y = z = 125^\\circ {\/tex} [Vertically opposite angles]\n<p>Thus, {tex}x = 55^\\circ ,y = 125^\\circ {\/tex} and {tex}z = 125^\\circ .{\/tex}<\/p>\n<p>(ii) {tex}40^\\circ + x + 25^\\circ = 180^\\circ {\/tex} [Angles on straight line]\n<p>{tex} \\Rightarrow {\/tex} {tex}65^\\circ + x = 180^\\circ {\/tex}<\/p>\n<p>{tex} \\Rightarrow {\/tex} {tex}x = 180^\\circ &#8211; 65^\\circ {\/tex} = {tex}115^\\circ {\/tex}<\/p>\n<p>Now {tex}40^\\circ + y = 180^\\circ {\/tex} [Linear pair]\n<p>{tex} \\Rightarrow {\/tex} {tex}y = 180^\\circ &#8211; 40^\\circ = 140^\\circ {\/tex} \u2026\u2026\u2026.(i)<\/p>\n<p>Also {tex}y + z = 180^\\circ {\/tex} [Linear pair]\n<p>{tex} \\Rightarrow {\/tex} {tex}140^\\circ + z = 180^\\circ {\/tex} [From eq. (i)]\n<p>{tex} \\Rightarrow {\/tex} {tex}z = 180^\\circ &#8211; 140^\\circ = 40^\\circ {\/tex}<\/p>\n<p>Thus, {tex}x = 115^\\circ ,y = 140^\\circ {\/tex} and {tex}z = 40^\\circ .{\/tex}<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_13Fill_in_the_blanks\"><\/span><strong>Question 13.<\/strong>Fill in the blanks:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<ol>\n<li>If two angles are complementary, then the sum of their measures is _______________.<\/li>\n<li>If two angles are supplementary, then the sum of their measures is _______________.<\/li>\n<li>Two angles forming a linear pair are _______________.<\/li>\n<li>If two adjacent angles are supplementary, they form a _______________.<\/li>\n<li>If two lines intersect a point, then the vertically opposite angles are always _______________.<\/li>\n<li>If two lines intersect at a point and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _______________.<\/li>\n<\/ol>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) {tex}{90^ \\circ }{\/tex}<\/p>\n<p>(ii) {tex}180^\\circ {\/tex}<\/p>\n<p>(iii) supplementary<\/p>\n<p>(iv) linear pair<\/p>\n<p>(v) equal<\/p>\n<p>(vi) obtuse angles<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 5.1<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_14In_the_adjoining_figure_name_the_following_pairs_of_angles\"><\/span><strong>Question 14.<\/strong>In the adjoining figure, name the following pairs of angles:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch05_08.jpg\" width=\"141\" height=\"97\" \/><\/p>\n<ol>\n<li>Obtuse vertically opposite angles.<\/li>\n<li>Adjacent complementary angles.<\/li>\n<li>Equal supplementary angles.<\/li>\n<li>Unequal supplementary angles.<\/li>\n<li>Adjacent angles that do not form a linear pair.<\/li>\n<\/ol>\n<p><strong>Answer:<\/strong><\/p>\n<p>(i) Obtuse vertically opposite angles means greater than {tex}{90^ \\circ }{\/tex} and equal {tex}\\angle {\/tex}AOD = {tex}\\angle {\/tex}BOC.<\/p>\n<p>(ii) Adjacent complementary angles means angles have common vertex, common arm, non-common arms are on either side of common arm and sum of angles is {tex}{90^ \\circ }.{\/tex}<\/p>\n<p>(iii) Equal supplementary angles means sum of angles is {tex}180^\\circ {\/tex} and supplement angles are equal.<\/p>\n<p>(iv) Unequal supplementary angles means sum of angles is {tex}180^\\circ {\/tex} and supplement angles are unequal.<\/p>\n<p>i.e., {tex}\\angle {\/tex}AOE, {tex}\\angle {\/tex}EOC; {tex}\\angle {\/tex}AOD, {tex}\\angle {\/tex}DOC and {tex}\\angle {\/tex}AOB, {tex}\\angle {\/tex}BOC<\/p>\n<p>(v) Adjacent angles that do not form a linear pair mean, angles have common ray but the angles in a linear pair are not supplementary.<\/p>\n<p>i.e., {tex}\\angle {\/tex}AOB, {tex}\\angle {\/tex}AOE; {tex}\\angle {\/tex}AOE, {tex}\\angle {\/tex}EOD and {tex}\\angle {\/tex}EOD, {tex}\\angle {\/tex}COD<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Exercise_51\"><\/span>NCERT Solutions for Class 7 Maths Exercise 5.1<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 7 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Maths includes text book solutions from Class 7 Maths Book . NCERT Solutions for CBSE Class 7 Maths have total 15 chapters. 7 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 7 solutions PDF and Maths ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Students\"><\/span>CBSE app for Students<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 7 Maths, Social Science Computer Science, Home Science, Hindi English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Exercise 5.1 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. 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