{"id":27328,"date":"2021-06-30T15:34:16","date_gmt":"2021-06-30T10:04:16","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=27328"},"modified":"2022-03-02T10:31:25","modified_gmt":"2022-03-02T05:01:25","slug":"ncert-solutions-for-class-7-maths-chapter-5-intext-questions","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/ncert-solutions-for-class-7-maths-chapter-5-intext-questions\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions"},"content":{"rendered":"

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

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

NCERT In-text Question Page No. 94<\/span>
\nQuestion 1.
\nList ten figures around you and identify the acute, obtuse and right angles found in them.
\nAnswer:
\nIt is an activity. Please do it yourself.<\/p>\n

NCERT In-text Question Page No. 95<\/span>
\nQuestion 1.
\nWhich pairs of following angles are complementary?
\n\"NCERT
\n\"NCERT
\nAnswer:
\n(i) Since 70\u00b0 + 20\u00b0 = 90\u00b0
\n\u2234 Angles 70 and 20 are complementary.<\/p>\n

(ii) \u2235 75\u00b0 + 25\u00b0 = 100\u00b0 and 100\u00b0 \u2260 90\u00b0
\nAngles 75\u00b0 and 25\u00b0 are not complementary.<\/p>\n

(iii) \u2235 48\u00b0 + 52\u00b0 = 100\u00b0 and 100\u00b0 = 90\u00b0
\nThe angles 48\u00b0 and 52\u00b0 are not complementary.<\/p>\n

(iv) \u2235 35\u00b0 + 55\u00b0 = 90\u00b0
\n\u2235 The angles 35 and 55 are complementary.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nWhat is the measure of the complement of each of the following angles?
\n(i) 45\u00b0
\n(ii) 65\u00b0
\n(iii) 41\u00b0
\n(iv) 54\u00b0
\nAnswer:
\n(i) Let the complement of 45\u00b0 be x
\n\u2234 x + 45\u00b0 = 90\u00b0
\nx = 90\u00b0 – 45\u00b0
\n= 45\u00b0
\nThe complement of 45\u00b0 is 45\u00b0.<\/p>\n

(ii) Let the complement of 65\u00b0 be p
\n\u2234 p + 65\u00b0 =90\u00b0
\np = 90\u00b0 – 65\u00b0
\n= 25\u00b0
\nThe complement of 65\u00b0 is 25\u00b0.<\/p>\n

(iii) Let the complement of 41\u00b0 be m
\n\u2234 m + 41\u00b0 = 90\u00b0
\nm = 90\u00b0 – 41\u00b0
\n= 49\u00b0
\nThe complement of 41\u00b0 is 49\u00b0.<\/p>\n

(iv) Let the complement of 54\u00b0 be y
\n\u2234 y + 54\u00b0 = 90\u00b0
\n\u2234 y = 90\u00b0 – 54\u00b0
\n= 36\u00b0
\nThe complement of 54\u00b0 is 36\u00b0.<\/p>\n

Question 3.
\nThe difference in the measures of two complementary angles is 12\u00b0. Find the measures of the angles.
\nAnswer:
\n\u2234 Let one of the angle be x
\n\u2234 The difference =12\u00b0
\n\u2234 The other angle = x + 12\u00b0
\nSum of the measures of two angles = 90\u00b0
\nSince x and x + 12\u00b0 are complementary angles
\n\u2234 x + x + 12\u00b0 = 90
\n2x + 12 = 90\u00b0
\nTranspose 12 to R.H.S
\n2x = 90 – 12
\n2x = 78\u00b0
\nDividing both sides by 2, we get
\n\\(\\frac{2 x}{2}=\\frac{78}{2}\\)
\nx = 39\u00b0
\n\u2234 The other angle = 39\u00b0 +12\u00b0
\n= 51\u00b0
\nThe measures of the angle are 39\u00b0 and 51\u00b0.<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 96 & 97<\/span>
\nQuestion 1.
\nFind the pairs of supplementary angles in following figures:
\n\"NCERT
\nAnswer:
\n(i) 110\u00b0 and 50\u00b0 are not a pair of
\nsupplementary angles as 110\u00b0 + 50\u00b0 = 160\u00b0 \u2260 180\u00b0<\/p>\n

(ii) 105\u00b0 and 65\u00b0 are not a pair of supplementary angles as
\n105\u00b0+ 65\u00b0 = 170\u00b0 \u2260 180\u00b0<\/p>\n

(iii) 50\u00b0 and 130\u00b0 are a pair of supplementary angles as
\n50\u00b0 + 130\u00b0 = 180\u00b0<\/p>\n

(iv) 45\u00b0 and 45\u00b0 are not a pair of supplementary angles as
\n45\u00b0+ 45\u00b0 = 90\u00b0 \u2260 180\u00b0<\/p>\n

Question 2.
\nWhat will be the measure of the supplement of each one of the following angles?
\n(i) 100\u00b0
\n(ii) 90\u00b0
\n(iii) 55\u00b0
\n(iv) 125\u00b0
\nAnswer:
\n(i) Let the supplement of 100\u00b0 be x.
\n\u2234 100\u00b0+ x = 180\u00b0
\nor x = 180\u00b0 – 100\u00b0 = 80\u00b0
\n\u2234 The measure of the supplement of 100\u00b0 is 80\u00b0.<\/p>\n

(ii) Let the supplement of 90\u00b0 be x.
\n\u2234 x + 90\u00b0 = 180\u00b0
\nor x = 180\u00b0- 90\u00b0= 90\u00b0
\n\u2234 The measure of the supplement of 90\u00b0 is 90\u00b0.<\/p>\n

(iii) Let the supplement of 55\u00b0 be m.
\n\u2234 55\u00b0 + m = 180\u00b0
\nor m = 180\u00b0 – 55\u00b0
\nor m = 125\u00b0
\n\u2234 The supplement of 55\u00b0 is 125\u00b0.<\/p>\n

(iv) Let the supplement of 125\u00b0 be y.
\n\u2234 y + 125\u00b0= 180\u00b0
\nor y = 180\u00b0 – 125\u00b0
\nor y = 55\u00b0
\n\u2234 The supplement of 125\u00b0 is 55\u00b0.<\/p>\n

\"NCERT<\/p>\n

Question 3.
\nAmong two supplementary angles the measure of the larger angle is 44\u00b0 more than the measure of the smaller. Find their measures.
\nAnswer:
\nLet the smaller angle be x
\n\u2234 The measure of the larger angle = (x + 44\u00b0)
\nSince the two angles are supplementary,
\nx + (x + 44\u00b0) = 180\u00b0
\n2x + 44\u00b0 = 180\u00b0
\n2x = 180\u00b0 – 44\u00b0
\n2x = 136\u00b0
\nx = \\(\\frac{136}{2}\\) = 68\u00b0
\n\u2234 The smaller angle = 68\u00b0
\nLarger angle= 68\u00b0 + 44\u00b0 =112\u00b0
\nSo, the supplementary angles are 68\u00b0 and 112\u00b0.<\/p>\n

NCERT In-text Question Page No. 97 & 98<\/span>
\nQuestion 1.
\nAre the angles marked 1 and 2 adjacent? If they are not adjacent, say, \u2018why\u2019.
\n\"NCERT
\nAnswer:
\n(i) Yes, \u22201 and \u22202 are adjacent angles.
\n(ii) \u22201 and \u22202 are adjacent angles.
\n(iii) \u22201 and \u22202 are not adjacent angles because they have no common vertex.
\n(iv) No, \u22201 and \u22202 are not adjacent angles because \u22201 is a part of \u22202.
\n(v) Yes, \u22201 and \u22202 are adjacent angles.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nIn the given figure, are the following adjacent angles?
\n(a) \u2220AOB and \u2220BOC
\n(b) \u2220BOD and \u2220BOC
\n\"NCERT
\nJustify your answer.
\nAnswer:
\n(a) Yes, \u2220AOB and \u2220BOC are adjacent angles, because they have common vetex O and their non-common arms (OA and OC) are on either side of the common arm OB.<\/p>\n

(b) No, because \u2220BOC is a part of \u2220BOD.<\/p>\n

NCERT In-text Question Page No. 99<\/span>
\nQuestion 1.
\nCheck which of the following pairs of angles form a linear pair.
\n\"NCERT
\nAnswer:
\n(i) yes,
\n\u2235 140\u00b0 + 40\u00b0 = 180\u00b0
\n\u2234 The given pair of angles forms a linear pair.<\/p>\n

(ii) No.
\n\u2235 60\u00b0 + 90\u00b0 = 150\u00b0 and 150\u00b0 \u2260 180\u00b0
\n\u2234 The given pair of angles does not form a linear pair.<\/p>\n

(iii) No.
\n\u2235 90\u00b0 + 80\u00b0 = 170\u00b0 and 170\u00b0 \u2260 180\u00b0
\n\u2234 The given pair of angles does not form a linear pair.<\/p>\n

(iv) Yes.
\n\u2235 115\u00b0 + 65\u00b0 = 180\u00b0
\n\u2234 The given pair of angles forms a linear pair.<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 101<\/span>
\nQuestion 1.
\nIn the given figure if \u22201 = 30\u00b0, find \u22202 and \u22203
\n\"NCERT
\nAnswer:
\n\u22203 and \u22201 are vertically opposite angles.
\n.\u2019. \u22203 = \u22201
\nSince \u22201 = 30\u00b0, So \u22203 = 30\u00b0
\nAgain \u22203 and \u22202 form a linear pair
\n.’. \u22203 + \u22202 = 180\u00b0
\n30\u00b0 + \u22202 = 180\u00b0
\n\u22202 = 180\u00b0 – 30\u00b0= 150\u00b0
\nThus \u22202 = 150\u00b0 and \u22203 = 30\u00b0<\/p>\n

Question 2.
\nGive an example for vertically opposite angles in your surrounding.
\nAnswer:
\nPlease do it yourself.<\/p>\n

NCERT In-text Question Page No. 104<\/span>
\nQuestion 1.
\nFind examples from your surrounding where lines intersect at right angles.
\nAnswer:
\nPlease do it yourself.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nFind the measure of the angles made by the intersecting lines at the vertices of an equilateral triangle.
\nAnswer:
\nPoints of intersection are A, B and C.
\nMeasure of \u2220A = 60\u00b0
\nMeasure of \u2220B = 60\u00b0
\nMeasure of \u2220C = 60\u00b0
\n\"NCERT<\/p>\n

Question 3.
\nDraw any rectangle and find the measures of angles at the four vertices made by the intersecting lines.
\nAnswer:
\nMeasure of \u2220A = 90\u00b0
\nMeasure of \u2220B = 90\u00b0
\nMeasure of \u2220C = 90\u00b0
\nMeasure of \u2220D = 90\u00b0
\n\"NCERT<\/p>\n

Question 4.
\nIf two lines intersect, do they always intersect at right angles?
\nAnswer:
\nNo.<\/p>\n

NCERT In-text Question Page No. 105<\/span>
\nQuestion 1.
\nSuppose two lines are given. How many transversals can you draw for these lines?
\nAnswer:
\nWe can draw an infinite number of transversals to two given lines.<\/p>\n

Question 2.
\nIf a line is a transversal to three lines, how many points of intersections are there?
\nAnswer:
\nAs shown in the adjoining figure, there are 3 distinct points of intersection.
\n\"NCERT<\/p>\n

Question 3.
\nTry to identify a few transversals in your surroundings.
\nAnswer:
\nPlease do it yourself.<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 106<\/span>
\nQuestion 1.
\nName the pairs of angles in each figure:
\n\"NCERT
\n\"NCERT
\nAnswer:
\n(i) \u22201 and \u22202 are a pair of corresponding angles.
\n(ii) \u22203 and \u22204 are a pair of alternate interior angles.
\n(iii) \u22205 and \u22206 are a pair of interior angles on the same side of the transversal.
\n(iv) \u22207 and \u22208 are a pair of corresponding angles.
\n(v) \u22209 and Z10 are a pair of alternate interior angles.
\n(vi) \u222011 and \u222012 are linear pair of angles.<\/p>\n

NCERT In-text Question Page No. 109<\/span>
\nQuestion 1.
\nFind the missing values.
\n(i) Lines l || m; t is a transversal \u2220x = ?
\n\"NCERT<\/p>\n

(ii) Lines a || b; c is a transversal \u2220y = ?
\n\"NCERT<\/p>\n

(iii) 11<\/sub> , 12<\/sub> be two lines t is a transversal Is \u22201 = \u22202?
\n\"NCERT<\/p>\n

(iv) Lines l || m; t is a transversal \u2220z =?
\n\"NCERT<\/p>\n

(v) Lines l || m; t is a transversal \u2220x =?
\n\"NCERT<\/p>\n

(vi) Lines l || m, p || q; Find a, b, c, d.
\n\"NCERT<\/p>\n

Answer:
\n(i) x = 60\u00b0
\n(x and 60\u00b0 are alternate interior angles)<\/p>\n

(ii) y = 55\u00b0
\n[\u2234 y and 55\u00b0 are alternate interior angles]<\/p>\n

(iii) No, \u22201 and \u22202 are not equal.
\n(11<\/sub> and 12<\/sub> are not parallel).<\/p>\n

(iv) 60\u00b0 + z = 180\u00b0
\n[z and 60\u00b0 are interior angles on the same side of the transversal]
\nz = 180\u00b0 – 60\u00b0 = 120\u00b0<\/p>\n

(v) x = 120\u00b0
\n[x and 120\u00b0 are corresponding angles]<\/p>\n

(vi) a + 60\u00b0 = 180\u00b0
\n(Interior angles on same side of transversal)
\na = 180 – 60\u00b0 = 120\u00b0 a = b = 120\u00b0
\n(alternate exterior angles)
\nb + d = 180\u00b0(linear pair)
\nd + 120 = 180\u00b0
\nd = 180\u00b0 – 120\u00b0 = 60\u00b0
\n\u21d2 c = b = 120\u00b0
\n(Vertically opposite angles)<\/p>\n

\"NCERT<\/p>\n

NCERT In-text Question Page No. 110<\/span>
\nQuestion 1.
\n(i) Is l || m? Why?
\n\"NCERT<\/p>\n

(ii) Is 1 || m ? Why?
\n\"NCERT<\/p>\n

(iii) If || m, what is \u2220x?
\n\"NCERT<\/p>\n

Answer:
\n(i) If a transversal intersects two given lines such that alternate angles are equal, then the given lines are parallel.
\nSince 50\u00b0 = 50\u00b0(alternate angles)
\n\u2234 l || m
\n\"NCERT<\/p>\n

(ii) l || m as a pair of interior angles on the same side of the transversal are supplementary
\nHere
\nx + 130\u00b0 = 180\u00b0 (Linear Pair)
\nx = 50\u00b0
\ny = x = 50\u00b0
\n\u21d2 l || m (as alternate angles are equal)<\/p>\n

(iii) l and m are parallel and t is a transversal
\n\u2234 The sum of interior angles on the same side of the transversal is 180\u00b0.
\nx + 70\u00b0 = 180\u00b0
\nx = 180\u00b0- 70\u00b0
\nx = 110\u00b0<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions NCERT In-text Question Page No. 94 Question 1. List ten figures around you and identify the acute, obtuse …<\/p>\n

NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions<\/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 InText Questions - 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-intext-questions\/\" \/>\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 InText Questions - MCQ Questions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions and Answers are prepared by our highly skilled subject experts. 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NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles InText Questions NCERT In-text Question Page No. 94 Question 1. 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