{"id":1893,"date":"2022-11-03T12:43:10","date_gmt":"2022-11-03T12:43:10","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=1893"},"modified":"2022-11-03T12:43:10","modified_gmt":"2022-11-03T12:43:10","slug":"ncert-solutions-class-7-maths-chapter-5-lines-and-angles-ex-5-2","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-5-lines-and-angles-ex-5-2\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 5 Lines and Angles Ex 5.2"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 5 (Lines and Angles)<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 7 Mathematics <strong>Chapter &#8211; 5 Lines and Angles <\/strong>Exercise 5.2 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"font-family: georgia, palatino, serif;\"><strong style=\"color: #000000;\">Chapter : 5 Lines and Angles<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-5-lines-and-angles-ex-5-1\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 5.1<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 5.2\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. State the property that is used in each of the following statements?<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1912 alignright\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q1.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"214\" height=\"190\" \/><\/strong><strong>(i) If a || b, then \u22201 = \u22205.<br \/>\n(ii) If \u22204 = \u22206, then a || b.<br \/>\n(iii) If \u22204 + \u22205 = 180<sup>o<\/sup>, then a || b.<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) If a || b, then \u22201 = \u22205.<\/strong><br \/>\nCorresponding angles property is used in the above statement.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) If \u22204 = \u22206, then a || b.<br \/>\n<\/strong>Alternate interior angles property is used in the above statement.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) If \u22204 + \u22205 = 180<sup>o<\/sup>, then a || b.<br \/>\n<\/strong>Interior angles on the same side of transversal are supplementary.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. In the adjoining figure, identify<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1913 alignright\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q2.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"196\" height=\"171\" \/><\/strong><strong>(i) The pairs of corresponding angles.<br \/>\n(ii) the pairs of alternate interior angles.<br \/>\n(iii) the pairs of interior angles on the same side of the transversal.<br \/>\n(iv) The vertically opposite angles.<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(i) The pairs of corresponding angles.<br \/>\n<\/strong>The pair of corresponding angles are \u22201 and \u22205, \u22202 and \u22206, \u22204 and \u22208, \u22203 and \u22207.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) The pairs of alternate interior angles.<br \/>\n<\/strong>The pairs of alternate interior angles are \u22202 and \u22208, \u22203 and \u22205.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) The pairs of interior angles on the same side of the transversal.<br \/>\n<\/strong>The pairs of interior angles on the same side of the transversal are \u22202 and \u22205, \u22203 and \u22208.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) The vertically opposite angles.<br \/>\n<\/strong>The vertically opposite angles are \u22201 and \u22203, \u22205 and \u22207, \u22202 and \u22204, \u22206 and \u22208<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. In the adjoining figure, p || q. Find the unknown angles.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1914\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q3.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"173\" height=\"174\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q3.png 173w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q3-150x150.png 150w\" sizes=\"auto, (max-width: 173px) 100vw, 173px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong>\u2220d = \u2220125<sup>o<\/sup>\u00a0 &#8212;&#8212;&#8212;&#8212;&#8212;&#8211; [\u2235 corresponding angles]<br \/>\nWe know that, Linear pair is the sum of adjacent angles is 180<sup>o<br \/>\n<\/sup>\u21d2 \u2220e + 125<sup>o<\/sup>\u00a0= 180<sup>o<\/sup> &#8212;&#8212;&#8212;&#8212;&#8212;&#8211; [Linear pair]<br \/>\n\u21d2 \u2220e = 180<sup>o<\/sup>\u00a0\u2013 125<sup>o<br \/>\n<\/sup>\u21d2 \u2220e = 55<sup>o<br \/>\n<\/sup>From the rule of vertically opposite angles,<br \/>\n\u2220f = \u2220e = 55<sup>o<br \/>\n<\/sup>\u2220b = \u2220d = 125<sup>o<br \/>\n<\/sup>By the property of corresponding angles,<br \/>\n\u2220c = \u2220f = 55<sup>o<br \/>\n<\/sup>\u2220a = \u2220e = 55<sup>o<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. Find the value of x in each of the following figures if <em>l<\/em> || m.<br \/>\n<\/strong><strong>(i) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1915\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q4i.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"231\" height=\"194\" \/>\u00a0 \u00a0 \u00a0 \u00a0(ii) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1916\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q4ii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"209\" height=\"200\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) <\/strong>Let the angle opposite to 110\u00b0 be y.<br \/>\n\u2234 y = 110\u00b0 (Vertically opposite angles)<br \/>\n\u21d2 \u2220x + \u2220y = 180\u00b0 (Sum of interior angle on the same side of transversal)<br \/>\n\u21d2 \u2220x + 110\u00b0 = 180\u00b0 .<br \/>\n\u2234 \u2220x = 180\u00b0 \u2013 110\u00b0 = 70\u00b0<br \/>\nThus x = 70\u00b0<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) <\/strong>\u2220x = 110\u00b0 (Pair of corresponding angles)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. In the given figure, the arms of two angles are parallel. <\/strong><strong>If \u2220ABC = 70<sup>o<\/sup>, then find<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-1917 alignright\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q5.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"230\" height=\"199\" \/><\/strong><strong>(i) \u2220DGC<br \/>\n<\/strong><strong>(ii) \u2220DEF<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i) \u2220DGC<\/strong><br \/>\nLet us consider that AB || DE<br \/>\nBC is the transversal line intersecting AB and DG<br \/>\nBy the property of corresponding angles,<br \/>\n\u2220DGC = \u2220ABC<br \/>\nThen,<br \/>\n\u2220DGC = 70<sup>o<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) \u2220DEF<\/strong><br \/>\nLet us consider that BC || EF<br \/>\nDE is the transversal line intersecting BC and EF<br \/>\nBy the property of corresponding angles,<br \/>\n\u2220DEF = \u2220DGC<br \/>\nThen,<br \/>\n\u2220DEF = 70<sup>o<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. In the given figures below, decide whether <em>l<\/em> is parallel to m.<br \/>\n<\/strong><strong>(i) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1918\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q6i.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"188\" height=\"151\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (ii) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1919\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q6ii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"183\" height=\"186\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1920\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q6iii.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"183\" height=\"145\" \/>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(iv) <img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-1921\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/10\/NCERT-Solutions-Class-7-Maths-Ex-5.2-Q6iv.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"167\" height=\"184\" \/><\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> Sum of interior angles on the same side of transversal<br \/>\n\u21d2 126\u00b0 + 44\u00b0 = 170\u00b0 \u2260 180\u00b0<br \/>\n\u2234 <em>l<\/em> is not parallel to m.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)\u00a0<\/strong>Let angle opposite to 75\u00b0 be x.<br \/>\nx = 75\u00b0 [Vertically opposite angles]<br \/>\n\u2234 Sum of interior angles on the same side of transversal<br \/>\n\u21d2 x + 75\u00b0 = 75\u00b0 + 75\u00b0<br \/>\n\u21d2 150\u00b0 \u2260 180\u00b0<br \/>\n\u2234<em> l<\/em> is not parallel to m.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii)\u00a0<\/strong>Let the angle opposite to 57\u00b0 be y.<br \/>\n\u2234 \u2220y = 57\u00b0 (Vertically opposite angles)<br \/>\n\u2234 Sum of interior angles on the same side of transversal<br \/>\n\u21d2 57\u00b0 + 123\u00b0 = 180\u00b0<br \/>\n\u2234 l is parallel to m.<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>(iv)<\/strong> Let angle opposite to 72\u00b0 be z.<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 z = 70\u00b0 (Vertically opposite angle)<\/span><br \/>\n<span style=\"color: #000000;\">Sum of interior angles on the same side of transversal<\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 z + 98\u00b0 = 72\u00b0 + 98\u00b0<\/span><br \/>\n<span style=\"color: #000000;\">\u21d2 170\u00b0 \u2260 180\u00b0<\/span><br \/>\n<span style=\"color: #000000;\">\u2234 <em>l<\/em> is not parallel to m.<\/span><\/p>\n<p style=\"text-align: justify;\">\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 5 (Lines and Angles) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 5 Lines and Angles Exercise 5.2 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 5 Lines and Angles NCERT Solution Class 7 Maths [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[290,291,283,5],"class_list":["post-1893","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-5-simple-equations-in-english","tag-ncert-solutions-class-7-maths-chapter-5-in-english","tag-ncert-solutions-class-7-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - 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