NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles
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Book Name: Maths
Subject: Maths
Chapter Number: 5
Chapter Name: Lines and Angles
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Book Name: Maths
Subject: Maths
Chapter Number: 5
Chapter Name: Lines and Angles
You can also bookmark this page by clicking + Save to Library icon and refer to these NCERT Solutions anytime from your account. More Detail
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NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles – Text
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Page 1
NCERT
SOLUTIONS
CLASS - 7th
aglase .co
SOLUTIONS
CLASS - 7th
aglase .co
Page 2
Class : 7th
Subject : Maths
Chapter : 5
Chapter Name : Lines and Angles
Exercise 5.1
Q1 Which pairs of following angles are complementary? (Figure)
Answer. Missing
Page : 95 , Block Name : Try These
Q2 What is the measure of the complement of each of the following angles?
(i) 45º
(ii) 65º
(iii) 41º
(iv) 54º
Answer. Missing
Page : 95 , Block Name : Try These
Q3 The difference in the measures of two complementary angles is 12o . Find the measures of the
angles.
Answer. Missing
Subject : Maths
Chapter : 5
Chapter Name : Lines and Angles
Exercise 5.1
Q1 Which pairs of following angles are complementary? (Figure)
Answer. Missing
Page : 95 , Block Name : Try These
Q2 What is the measure of the complement of each of the following angles?
(i) 45º
(ii) 65º
(iii) 41º
(iv) 54º
Answer. Missing
Page : 95 , Block Name : Try These
Q3 The difference in the measures of two complementary angles is 12o . Find the measures of the
angles.
Answer. Missing
Page 3
Page : 95 , Block Name : Try These
Q1 Find the pairs of supplementary angles in Figure:
Answer. Missing
Page : 96 , Block Name : Try These
Q2 What will be the measure of the supplement of each one of the following angles?
(i) 100º
(ii) 90º
(iii) 55º
(iv) 125º
Answer. Missing
Page : 97 , Block Name : Try These
Q3 Among two supplementary angles the measure of the larger angle is 44o more than the
measure of the smaller. Find their measures.
Answer. Missing
Page : 97 , Block Name : Try These
Q1 Are the angles marked 1 and 2 adjacent? (Figure). If they are not adjacent, say, ‘why’.
Q1 Find the pairs of supplementary angles in Figure:
Answer. Missing
Page : 96 , Block Name : Try These
Q2 What will be the measure of the supplement of each one of the following angles?
(i) 100º
(ii) 90º
(iii) 55º
(iv) 125º
Answer. Missing
Page : 97 , Block Name : Try These
Q3 Among two supplementary angles the measure of the larger angle is 44o more than the
measure of the smaller. Find their measures.
Answer. Missing
Page : 97 , Block Name : Try These
Q1 Are the angles marked 1 and 2 adjacent? (Figure). If they are not adjacent, say, ‘why’.
Page 4
Answer. Missing
Page : 97 , Block Name : Try These
Q2 In the given Figure, are the following adjacent angles?
(a) ∠AOB and ∠BOC
(b) ∠BOD and ∠BOC
Justify your answer.
Answer. Missing
Page : 98 , Block Name : Try These
Q1 Check which of the following pairs of angles form a linear pair (Figure):
Page : 97 , Block Name : Try These
Q2 In the given Figure, are the following adjacent angles?
(a) ∠AOB and ∠BOC
(b) ∠BOD and ∠BOC
Justify your answer.
Answer. Missing
Page : 98 , Block Name : Try These
Q1 Check which of the following pairs of angles form a linear pair (Figure):
Page 5
Answer. Missing
Page : 99 , Block Name : Try These
Q1 In the given gure, if ∠1 = 30º, nd ∠2 and ∠3.
Answer. Missing
Page : 101 , Block Name : Try These
Q1 Find the complement of each of the following angles:
Page : 99 , Block Name : Try These
Q1 In the given gure, if ∠1 = 30º, nd ∠2 and ∠3.
Answer. Missing
Page : 101 , Block Name : Try These
Q1 Find the complement of each of the following angles:
Page 6
Answer. The sum of the measures of complementary angles is 90 .
∘
(i) 20
∘
Complement = 90 − 20∘ ∘
= 70
∘
(ii) 63
∘
Complement = 90 ∘ ∘
− 63
∘
= 27
(iii) 57
∘
Complement = 90 ∘ ∘
− 57
= 33
∘
Page : 101 , Block Name : Exercise 5.1
Q2 Find the supplement of each of the following angles:
Answer. The sum of the measures of supplementary angles is 180
∘
(i) 105
∘
Supplement = 180 − 105
∘ ∘
∘
= 75
(ii) 87
∘
Supplement = 180
∘ ∘
− 87
∘
= 93
(iii) 154
∘
Supplement = 180
∘ ∘
− 154
∘
= 26
Page : 102 , Block Name : Exercise 5.1
Q3 Identify which of the following pairs of angles are complementary and which are
∘
(i) 20
∘
Complement = 90 − 20∘ ∘
= 70
∘
(ii) 63
∘
Complement = 90 ∘ ∘
− 63
∘
= 27
(iii) 57
∘
Complement = 90 ∘ ∘
− 57
= 33
∘
Page : 101 , Block Name : Exercise 5.1
Q2 Find the supplement of each of the following angles:
Answer. The sum of the measures of supplementary angles is 180
∘
(i) 105
∘
Supplement = 180 − 105
∘ ∘
∘
= 75
(ii) 87
∘
Supplement = 180
∘ ∘
− 87
∘
= 93
(iii) 154
∘
Supplement = 180
∘ ∘
− 154
∘
= 26
Page : 102 , Block Name : Exercise 5.1
Q3 Identify which of the following pairs of angles are complementary and which are
Page 7
supplementary.
(i) 65º, 115º
(ii) 63º, 27º
(iii) 112º, 68º
(iv) 130º, 50º
(v) 45º, 45º
(vi) 80º, 10º
Answer. The sum of the measures of complementary angles is 900 and that of supplementary
angles is 180
∘
(i) 65 , 115
∘ ∘
Sum of the measures of these angles = 65 + 115 = 180
∘ ∘ ∘
∴These angles are supplementary angles.
(ii) 112 , 68
∘ ∘
Sum of the measures of these angles = 63 + 27
∘ ∘
= 90
∘
∴ These angles are complementary angles.
(iii) 112 , 68 ∘ ∘
Sum of the measures of these angles = 112 ∘
+ 68
∘
= 180
∘
∴ These angles are supplementary angles.
(iv) 130 , 50 ∘ ∘
Sum of the measures of these angles = 130 ∘
+ 50
∘
= 180
∘
∴ These angles are supplementary angles.
(v) 45 , 45
∘ ∘
Sum of the measures of these angles = 45 + 45
∘ ∘ ∘
= 90
∴ These angles are complementary angles.
(vi) 80 , 10
∘ ∘
Sum of the measures of these angles = 80 + 10
∘ ∘
= 90
∘
∴ These angles are complementary angles.
Page : 102 , Block Name : Exercise 5.1
Q4 Find the angle which is equal to its complement.
Answer. Let the angle be x.
Complement of this angle is also x.
The sum of the measures of a complementary angle pair is 90 ∘
∘
∴ x + x = 90
∘
2x = 90
∘
90 ∘
x = = 45
2
Page : 102 , Block Name : Exercise 5.1
(i) 65º, 115º
(ii) 63º, 27º
(iii) 112º, 68º
(iv) 130º, 50º
(v) 45º, 45º
(vi) 80º, 10º
Answer. The sum of the measures of complementary angles is 900 and that of supplementary
angles is 180
∘
(i) 65 , 115
∘ ∘
Sum of the measures of these angles = 65 + 115 = 180
∘ ∘ ∘
∴These angles are supplementary angles.
(ii) 112 , 68
∘ ∘
Sum of the measures of these angles = 63 + 27
∘ ∘
= 90
∘
∴ These angles are complementary angles.
(iii) 112 , 68 ∘ ∘
Sum of the measures of these angles = 112 ∘
+ 68
∘
= 180
∘
∴ These angles are supplementary angles.
(iv) 130 , 50 ∘ ∘
Sum of the measures of these angles = 130 ∘
+ 50
∘
= 180
∘
∴ These angles are supplementary angles.
(v) 45 , 45
∘ ∘
Sum of the measures of these angles = 45 + 45
∘ ∘ ∘
= 90
∴ These angles are complementary angles.
(vi) 80 , 10
∘ ∘
Sum of the measures of these angles = 80 + 10
∘ ∘
= 90
∘
∴ These angles are complementary angles.
Page : 102 , Block Name : Exercise 5.1
Q4 Find the angle which is equal to its complement.
Answer. Let the angle be x.
Complement of this angle is also x.
The sum of the measures of a complementary angle pair is 90 ∘
∘
∴ x + x = 90
∘
2x = 90
∘
90 ∘
x = = 45
2
Page : 102 , Block Name : Exercise 5.1
Page 8
Q5 Find the angle which is equal to its supplement.
Answer. Let the angle be x.
Supplement of this angle is also x.
The sum of the measures of a supplementary angle pair is 80
∘
∘
∴ x + x = 180
∘
2x = 180
∘
x = 90
Page : 102 , Block Name : Exercise 5.1
Q6 In the given gure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes
should take place in ∠2 so that both the angles still remain supplementary.
Answer. ∠1 and ∠2 are supplementary angles.
If ∠1 is reduced, then ∠2 should be increased by the same measure so that this angle pair remains
supplementary.
Page : 102 , Block Name : Exercise 5.1
Q7 Can two angles be supplementary if both of them are:
(i) acute?
(ii) obtuse?
(iii) right?
Answer. (i) No. Acute angle is always lesser than 90 . It can be observed that two angles, even of
∘
89 , cannot add up to 180 . Therefore, two acute angles cannot be in a supplementary angle pair.
∘ ∘
(ii) No. Obtuse angle is always greater than 90 . It can be observed that two angles, even of 91 ,
∘ ∘
will always add up to more than 180 . Therefore, two obtuse angles cannot be in a supplementary
∘
angle pair.
(iii) Yes. Right angles are of 90 and 90 + 90 = 180
∘ ∘ ∘ ∘
Therefore, two right angles from a supplementary angle pair together.
Page : 102 , Block Name : Exercise 5.1
Q8 An angle is greater than 45 . Is its complementary angle greater than 45 or equal to 45 or
∘ ∘ ∘
less than 45 ? ∘
Answer. LetA and B are two angles making a complementary angle pair and A is greater than 45 . ∘
Answer. Let the angle be x.
Supplement of this angle is also x.
The sum of the measures of a supplementary angle pair is 80
∘
∘
∴ x + x = 180
∘
2x = 180
∘
x = 90
Page : 102 , Block Name : Exercise 5.1
Q6 In the given gure, ∠1 and ∠2 are supplementary angles. If ∠1 is decreased, what changes
should take place in ∠2 so that both the angles still remain supplementary.
Answer. ∠1 and ∠2 are supplementary angles.
If ∠1 is reduced, then ∠2 should be increased by the same measure so that this angle pair remains
supplementary.
Page : 102 , Block Name : Exercise 5.1
Q7 Can two angles be supplementary if both of them are:
(i) acute?
(ii) obtuse?
(iii) right?
Answer. (i) No. Acute angle is always lesser than 90 . It can be observed that two angles, even of
∘
89 , cannot add up to 180 . Therefore, two acute angles cannot be in a supplementary angle pair.
∘ ∘
(ii) No. Obtuse angle is always greater than 90 . It can be observed that two angles, even of 91 ,
∘ ∘
will always add up to more than 180 . Therefore, two obtuse angles cannot be in a supplementary
∘
angle pair.
(iii) Yes. Right angles are of 90 and 90 + 90 = 180
∘ ∘ ∘ ∘
Therefore, two right angles from a supplementary angle pair together.
Page : 102 , Block Name : Exercise 5.1
Q8 An angle is greater than 45 . Is its complementary angle greater than 45 or equal to 45 or
∘ ∘ ∘
less than 45 ? ∘
Answer. LetA and B are two angles making a complementary angle pair and A is greater than 45 . ∘
Page 9
A + B = 90
∘
B = 90 - A
∘
Therefore, B will be lesser than 45 .
∘
Page : 102 , Block Name : Exercise 5.1
Q9 In the adjoining gure:
(i) Is ∠1 adjacent to ∠2?
(ii) Is ∠AOC adjacent to ∠AOE?
(iii) Do ∠COE and ∠EOD form a linear pair?
(iv) Are ∠BOD and ∠DOA supplementary?
(v) Is ∠1 vertically opposite to ∠4?
(vi) What is the vertically opposite angle of ∠5?
Answer. (i) Yes. Since they have a common vertex O and also a common arm OC. Also, their non-
common arms, OA and OE, are on either side of the common arm.
(ii) No. They have a common vertex O and also a common arm OA. However, their non-common
arms, OC and OE, are on the same side of the common arm. Therefore, these are not adjacent to
each other.
(iii) Yes. Since they have a common vertex O and a common arm OE. Also, their non- common
arms, OC and OD, are opposite rays.
(iv) Yes. Since ∠BOD and ∠DOA have a common vertex O and their non-common arms are
opposite to each other.
(v) Yes. Since these are formed due to the intersection of two straight lines (AB and CD).
(vi) ∠COB is the vertically opposite angle of ∠5 as these are formed due to the intersection of two
straight lines, AB and CD.
Page : 102 , Block Name : Exercise 5.1
Q10 Indicate which pairs of angles are:
(i) Vertically opposite angles.
(ii) Linear pairs.
Answer. (i) ∠1 and ∠4, ∠5 and ∠2+∠3 are vertically opposite angles as these are formed due to
∘
B = 90 - A
∘
Therefore, B will be lesser than 45 .
∘
Page : 102 , Block Name : Exercise 5.1
Q9 In the adjoining gure:
(i) Is ∠1 adjacent to ∠2?
(ii) Is ∠AOC adjacent to ∠AOE?
(iii) Do ∠COE and ∠EOD form a linear pair?
(iv) Are ∠BOD and ∠DOA supplementary?
(v) Is ∠1 vertically opposite to ∠4?
(vi) What is the vertically opposite angle of ∠5?
Answer. (i) Yes. Since they have a common vertex O and also a common arm OC. Also, their non-
common arms, OA and OE, are on either side of the common arm.
(ii) No. They have a common vertex O and also a common arm OA. However, their non-common
arms, OC and OE, are on the same side of the common arm. Therefore, these are not adjacent to
each other.
(iii) Yes. Since they have a common vertex O and a common arm OE. Also, their non- common
arms, OC and OD, are opposite rays.
(iv) Yes. Since ∠BOD and ∠DOA have a common vertex O and their non-common arms are
opposite to each other.
(v) Yes. Since these are formed due to the intersection of two straight lines (AB and CD).
(vi) ∠COB is the vertically opposite angle of ∠5 as these are formed due to the intersection of two
straight lines, AB and CD.
Page : 102 , Block Name : Exercise 5.1
Q10 Indicate which pairs of angles are:
(i) Vertically opposite angles.
(ii) Linear pairs.
Answer. (i) ∠1 and ∠4, ∠5 and ∠2+∠3 are vertically opposite angles as these are formed due to
Page 10
the intersection of two straight lines.
(ii) ∠1 and ∠5,∠5 and ∠4 as these have a common vertex and also have non-common arms
opposite to each other.
Page : 102 , Block Name : Exercise 5.1
Q11 In the following gure, is ∠1 adjacent to ∠2? Give reasons.
Answer. ∠1 and ∠2 are not adjacent angles because their vertex is not common.
Page : 103 , Block Name : Exercise 5.1
Q12 Find the values of the angles x, y, and z in each of the following:
Answer. (i) Since ∠x and ∠55 are vertically opposite angles,
∘
∘
∠x = 55
(Linear pair)
∘
∠x + ∠y = 180
∘ ∘
55 + Ly = 180
∘ ∘ ∘
∠y = 180 − 55 = 125
∠y = ∠z ( Vertically opposite angles)
∘
∠z = 125
(ii) ∠Z = 40 ( Vertically opposite angles)
∘
∠y + ∠z = 180 (Linear pair)
∘
∘ ∘ ∘
∠y = 180 − 40 = 140
40
∘
+ ∠x + 25
∘
= 180
∘
(Angles on a straight line)
∘ ∘
65 + ∠x = 180
∘ ∘ ∘
∠x = 180 − 65 = 115
Page : 103 , Block Name : Exercise 5.1
(ii) ∠1 and ∠5,∠5 and ∠4 as these have a common vertex and also have non-common arms
opposite to each other.
Page : 102 , Block Name : Exercise 5.1
Q11 In the following gure, is ∠1 adjacent to ∠2? Give reasons.
Answer. ∠1 and ∠2 are not adjacent angles because their vertex is not common.
Page : 103 , Block Name : Exercise 5.1
Q12 Find the values of the angles x, y, and z in each of the following:
Answer. (i) Since ∠x and ∠55 are vertically opposite angles,
∘
∘
∠x = 55
(Linear pair)
∘
∠x + ∠y = 180
∘ ∘
55 + Ly = 180
∘ ∘ ∘
∠y = 180 − 55 = 125
∠y = ∠z ( Vertically opposite angles)
∘
∠z = 125
(ii) ∠Z = 40 ( Vertically opposite angles)
∘
∠y + ∠z = 180 (Linear pair)
∘
∘ ∘ ∘
∠y = 180 − 40 = 140
40
∘
+ ∠x + 25
∘
= 180
∘
(Angles on a straight line)
∘ ∘
65 + ∠x = 180
∘ ∘ ∘
∠x = 180 − 65 = 115
Page : 103 , Block Name : Exercise 5.1
Page 11
Q13 Fill in the blanks:
(i) If two angles are complementary, then the sum of their measures is _______.
(ii) If two angles are supplementary, then the sum of their measures is ______.
(iii) Two angles forming a linear pair are _______________.
(iv) If two adjacent angles are supplementary, they form a ___________.
(v) If two lines intersect at a point, then the vertically opposite angles are always _____________.
(vi) 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 __________.
Answer. (i) 90
∘
(ii) 180
∘
(iii) Supplementary
(iv) Linear pair
(v) Equal
(vi) Obtuse angles
Page : 103 , Block Name : Exercise 5.1
Q14 In the adjoining gure, name the following pairs of angles.
(i) Obtuse vertically opposite angles
(ii) Adjacent complementary angles
(iii) Equal supplementary angles
(iv) Unequal supplementary angles
(v) Adjacent angles that do not form a linear pair.
Answer. (i) ∠AOD, ∠BOC
(ii) ∠EOA, ∠AOB
(iii) ∠EOB, ∠EOD
(iv) ∠EOA, ∠EOC
(v) ∠AOB and ∠AOE, ∠AOE and ∠EOD, ∠EOD and ∠COD
Page : 103 , Block Name : Exercise 5.1
Exercise 5.2
Q1 Find examples from your surroundings where lines intersect at right angles.
Answer. Missing
(i) If two angles are complementary, then the sum of their measures is _______.
(ii) If two angles are supplementary, then the sum of their measures is ______.
(iii) Two angles forming a linear pair are _______________.
(iv) If two adjacent angles are supplementary, they form a ___________.
(v) If two lines intersect at a point, then the vertically opposite angles are always _____________.
(vi) 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 __________.
Answer. (i) 90
∘
(ii) 180
∘
(iii) Supplementary
(iv) Linear pair
(v) Equal
(vi) Obtuse angles
Page : 103 , Block Name : Exercise 5.1
Q14 In the adjoining gure, name the following pairs of angles.
(i) Obtuse vertically opposite angles
(ii) Adjacent complementary angles
(iii) Equal supplementary angles
(iv) Unequal supplementary angles
(v) Adjacent angles that do not form a linear pair.
Answer. (i) ∠AOD, ∠BOC
(ii) ∠EOA, ∠AOB
(iii) ∠EOB, ∠EOD
(iv) ∠EOA, ∠EOC
(v) ∠AOB and ∠AOE, ∠AOE and ∠EOD, ∠EOD and ∠COD
Page : 103 , Block Name : Exercise 5.1
Exercise 5.2
Q1 Find examples from your surroundings where lines intersect at right angles.
Answer. Missing
Page 12
Page : 104 , Block Name : Try These
Q2 Find the measures of the angles made by the intersecting lines at the vertices of an equilateral
triangle.
Answer. Missing
Page : 104 , Block Name : Try These
Q3 Draw any rectangle and nd the measures of angles at the four vertices made by the
intersecting lines.
Answer. Missing
Page : 104 , Block Name : Try These
Q4 If two lines intersect, do they always intersect at right angles?
Answer. Missing
Page : 104 , Block Name : Try These
Q1 Suppose two lines are given. How many transversals can you draw for these lines?
Answer. Missing
Page : 105 , Block Name : Try These
Q2 If a line is a transversal to three lines, how many points of intersections are there?
Answer. Missing
Page : 105 , Block Name : Try These
Q3 Try to identify a few transversals in your surroundings.
Answer. Missing
Page : 105 , Block Name : Try These
Q1 Name the pairs of angles in each gure:
Q2 Find the measures of the angles made by the intersecting lines at the vertices of an equilateral
triangle.
Answer. Missing
Page : 104 , Block Name : Try These
Q3 Draw any rectangle and nd the measures of angles at the four vertices made by the
intersecting lines.
Answer. Missing
Page : 104 , Block Name : Try These
Q4 If two lines intersect, do they always intersect at right angles?
Answer. Missing
Page : 104 , Block Name : Try These
Q1 Suppose two lines are given. How many transversals can you draw for these lines?
Answer. Missing
Page : 105 , Block Name : Try These
Q2 If a line is a transversal to three lines, how many points of intersections are there?
Answer. Missing
Page : 105 , Block Name : Try These
Q3 Try to identify a few transversals in your surroundings.
Answer. Missing
Page : 105 , Block Name : Try These
Q1 Name the pairs of angles in each gure:
Page 13
Answer. Missing
Page : 106 , Block Name : Try These
Q1
Answer. Missing
Page : 109 , Block Name : Try These
Q1
Page : 106 , Block Name : Try These
Q1
Answer. Missing
Page : 109 , Block Name : Try These
Q1
Page 14
Answer. Missing
Page : 110 , Block Name : Try These
Q1 . State the property that is used in each of the following statements?
(i) If a || b, then ∠1 = ∠5.
(ii) If ∠4 = ∠6, then a || b.
(iii) If ∠4 + ∠5 = 180°, then a || b.
Answer. (i) Corresponding angles property.
(ii) Alternate interior angles property
(iii) Interior angles on the same side of transversal are supplementary.
Page : 110 , Block Name : Exercise 5.2
Q2 In the adjoining gure, identify
(i) the pairs of corresponding angles.
(ii) the pairs of alternate interior angles.
(iii) the pairs of interior angles on the same side of the transversal.
(iv) the vertically opposite angles.
Page : 110 , Block Name : Try These
Q1 . State the property that is used in each of the following statements?
(i) If a || b, then ∠1 = ∠5.
(ii) If ∠4 = ∠6, then a || b.
(iii) If ∠4 + ∠5 = 180°, then a || b.
Answer. (i) Corresponding angles property.
(ii) Alternate interior angles property
(iii) Interior angles on the same side of transversal are supplementary.
Page : 110 , Block Name : Exercise 5.2
Q2 In the adjoining gure, identify
(i) the pairs of corresponding angles.
(ii) the pairs of alternate interior angles.
(iii) the pairs of interior angles on the same side of the transversal.
(iv) the vertically opposite angles.
Page 15
Answer. (i) ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8
(ii) ∠2 and ∠8, ∠3 and ∠5
(iii) ∠2 and ∠5, ∠3 and ∠8
(iv) ∠1 and ∠3, ∠2 and ∠4, ∠5 and ∠7, ∠6 and ∠8
Page : 110 , Block Name : Exercise 5.2
Q3 In the adjoining gure, p || q. Find the unknown angles.
Answer. ∠d = 125 ( Corresponding angles )
∘
∘ ∘ ∘
∠e = 180 − 125 = 55 ( Linear pair )
∠f = ∠e = 55
∘
(Vertically opposite angles)
∠c = ∠f = 55
∘
(Corresponding angles)
∘
∠a = ∠e = 55 ( Corresponding angles )
∠b = ∠d = 125
∘
(Vertically opposite angles )
Page : 110 , Block Name : Exercise 5.2
Q4 Find the value of x in each of the following gures if l || m.
(ii) ∠2 and ∠8, ∠3 and ∠5
(iii) ∠2 and ∠5, ∠3 and ∠8
(iv) ∠1 and ∠3, ∠2 and ∠4, ∠5 and ∠7, ∠6 and ∠8
Page : 110 , Block Name : Exercise 5.2
Q3 In the adjoining gure, p || q. Find the unknown angles.
Answer. ∠d = 125 ( Corresponding angles )
∘
∘ ∘ ∘
∠e = 180 − 125 = 55 ( Linear pair )
∠f = ∠e = 55
∘
(Vertically opposite angles)
∠c = ∠f = 55
∘
(Corresponding angles)
∘
∠a = ∠e = 55 ( Corresponding angles )
∠b = ∠d = 125
∘
(Vertically opposite angles )
Page : 110 , Block Name : Exercise 5.2
Q4 Find the value of x in each of the following gures if l || m.
Page 16
Answer.
Page : 111 , Block Name : Exercise 5.2
Q5 In the given gure, the arms of two angles are parallel. If ∠ABC = 70º, then nd
(i) ∠DGC
(ii) ∠DEF
Answer. (i) Consider that ABII DG and a transversal line BC is intersecting them.
Page : 111 , Block Name : Exercise 5.2
Q5 In the given gure, the arms of two angles are parallel. If ∠ABC = 70º, then nd
(i) ∠DGC
(ii) ∠DEF
Answer. (i) Consider that ABII DG and a transversal line BC is intersecting them.
Page 17
∠DGC = ∠ABC( Corresponding angles )
∘
∠DGC = 70
(ii) Consider that BCII EF and a transversal line DE is intersecting them.
∠DEF = ∠DGC( Corresponding angles )
∘
∠DEF = 70
Page : 111 , Block Name : Exercise 5.2
Q6 In the given gures below, decide whether l is parallel to m.
Answer.
∘
∠DGC = 70
(ii) Consider that BCII EF and a transversal line DE is intersecting them.
∠DEF = ∠DGC( Corresponding angles )
∘
∠DEF = 70
Page : 111 , Block Name : Exercise 5.2
Q6 In the given gures below, decide whether l is parallel to m.
Answer.
Page 18
Page : 111 , Block Name : Exercise 5.2
Document Details
| Board / Org | NCERT |
| Exam | Class 7 |
| Type | Solution |
| Pages | 19 |
| Updated | 30 Apr 2026 |