{"id":27320,"date":"2021-06-30T13:42:32","date_gmt":"2021-06-30T08:12:32","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=27320"},"modified":"2022-03-02T10:31:30","modified_gmt":"2022-03-02T05:01:30","slug":"ncert-solutions-for-class-7-maths-chapter-5-ex-5-2","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-5-ex-5-2\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2"},"content":{"rendered":"

These NCERT Solutions for Class 7 Maths<\/a> Chapter 5 Lines and Angles Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Exercise 5.2<\/h2>\n

Question 1.
\nState the property that is used in each of the following statements?
\n(i) If a || b, then \u22201 = \u22205.
\n(ii) If \u22204 = \u22206, then a || b.
\n(iii) If \u22204 + \u22205 = 180\u00b0, then a || b.
\n\"NCERT
\nAnswer:
\n(i) If two parallel lines are intersected by a transversal, then corresponding angles are equal.
\n(ii) If two given lines are intersected by a transversal such that alternate interior angles are equal, then the lines are parallel.
\n(iii) If two parallel lines are cut by a transversal such that the pairs of a interior angles on the same side of the transversal are supplementary, then the lines are parallel.<\/p>\n

Question 2.
\nIn the figure given below, identify
\n(i) the pairs of corresponding angles.
\n(ii) the pairs of alternate interior angles.
\n(iii) the pairs of interior angles on the same side of the transversal.
\n(iv) the vertically opposite angles.
\n\"NCERT
\nAnswer:
\n(i) The pairs of corresponding angles
\nare (\u22201, \u22205); (\u22202, \u22206); (\u22203, \u22207); and (\u22204, \u22208)
\n(ii) The pairs of alternate interior angles are (\u22202, \u22208) and (\u22203, \u22205)
\n(iii) The pairs of interior angles on the same side of the transversal are
\n(\u22202, \u22205) and (\u22203, \u22208)
\n(iv) The vertically opposite angles are (\u22201, \u22203); (\u22202, \u22204); (\u22205, \u22207); and (\u22206, \u22208)<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nIn the figure given below, p || q. Find the unknown angles.
\nAnswer:
\nSince, \u2220e + 125\u00b0 = 180\u00b0… (linear pair)
\n\u2220e = 180\u00b0 – 125\u00b0
\n\u2220e = 55\u00b0
\n\u2220e = \u2220f
\n(vertically opposite angles)
\n\u2234 \u2220f = 55\u00b0
\n\u2234 \u2220a = \u2220e
\n(corresponding angles)
\n\u2220a = 55\u00b0
\nAgain \u2220b = 125\u00b0
\n(alternate exterior angles)
\nsince, \u2220b and \u2220c form a linear pair
\n\u2234 \u2220b+ \u2220c= 180\u00b0
\nor 125\u00b0 + \u2220c = 180\u00b0
\n\u2220c = 180\u00b0 – 125\u00b0
\n= 55\u00b0
\n\"NCERT
\nNow, \u2220b and \u2220d are vertically opposite angles.
\n\u2234 \u2220d = \u2220b = 125\u00b0
\n[\u2235 \u2220b = 125\u00b0]
\nThus, the required measures are as follows: \u2220a = 55\u00b0, \u2220b = 125\u00b0, \u2220c = 55\u00b0,\u2220d = 125\u00b0, \u2220e = 55\u00b0, \u2220f = 55\u00b0<\/p>\n

Question 4.
\nFind the value of x in each of the following figures if 1 || m.
\n\"NCERT
\nAnswer:
\n(i) \u2220x = \u2220P
\n(alternate angles are equal)
\nBut \u2220P + 110\u00b0 = 180\u00b0 (linear pair)
\n\u2220P = 180\u00b0- 110\u00b0
\n= 70\u00b0
\n\u2234 \u2220x = 70\u00b0<\/p>\n

(ii) 1 and m are parallel and \u2018a\u2019 is a transversal.
\n\u2234 \u2220x = 100\u00b0
\n(corresponding angles are equal)<\/p>\n

\"NCERT<\/p>\n

Question 5.
\nIn the given figure, the arms of two angles are parallel.
\nIf \u2220ABC = 70\u00b0, then find
\n(i) \u2220DGC
\n(ii) \u2220DEF
\n\"NCERT<\/p>\n

Answer:
\nWe have AB || ED and BC || EF
\n(i) BC is a transversal
\n\u2234 \u2220DGC – \u2220ABC
\n(corresponding angles)
\nBut\u2220ABC – 70\u00b0
\n\u2234 \u2220DGC = 70\u00b0<\/p>\n

(ii) ED is a transversal to BC || EF
\n\u2234 \u2220DEF = \u2220DGC
\n(corresponding angles)
\nBut\u2220DGC = 70\u00b0
\n\u2234 \u2220DEF = 70\u00b0<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nIn the given figures below, decide whether 1 is parallel to m.
\n\"NCERT
\nAnswer:
\n(i) 44\u00b0 + 126\u00b0 = 170\u00b0 \u2260 180\u00b0
\nSum of the interior angles on the same side of the transversal is not 180\u00b0.
\n\u2234 1 and m are not parallel.<\/p>\n

(ii) n is a transversal to 1 and m and \u2220P = 75\u00b0(vertically opposite angles)
\nalso \u2220P + 75\u00b0= 75\u00b0 + 75\u00b0 = 150\u00b0 \u2260 180\u00b0
\n\u2234 1 and m are not parallel as sum of interior angles on same side of transversal is not 180\u00b0.<\/p>\n

(iii) \u2220P + 123\u00b0= 180\u00b0 (linear pair)
\n\u2220P = 180\u00b0 – 123\u00b0 = 57\u00b0
\n\u2220P = 57\u00b0(linear pair)
\ni.e., Corresponding angles are equal.
\n\u2234 1 and m are parallel (corresponding angles are not equal)<\/p>\n

(iv) \u22201 + \u22202 = 180\u00b0
\n\u22201 + 98\u00b0 = 180\u00b0
\n\u22201 = 180\u00b0- 98\u00b0= 82\u00b0
\n\u22203 = 72\u00b0
\n\u22201 \u2260\u22203
\n\u22341 and m are not parallel.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Exercise 5.2 Question 1. State the property that is used in each of the following statements? (i) If a …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[9],"tags":[],"yoast_head":"\nNCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 - MCQ Questions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-5-ex-5-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 Questions and Answers are prepared by our highly skilled subject experts. 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