NCERT Solutions  Class 7 Maths Chapter 5  Lines and Angles
CBSE Solutions  Maths Class 7
Check the below NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Pdf free download. NCERT Solutions Class 7 Maths were prepared based on the latest exam pattern. We have Provided Lines and Angles Class 7 Maths NCERT Solutions to help students understand the concept very well.
NCERT  Class 7 Maths
Book:  National Council of Educational Research and Training (NCERT) 

Board:  Central Board of Secondary Education (CBSE) 
Class:  7th 
Subject:  Maths 
Chapter:  5 
Chapters Name:  Lines and Angles 
Medium:  English 
Lines and Angles  Class 7 Maths  NCERT Books Solutions
NCERT Solutions for Class 7 Maths Chapte 5 Lines and Angles Exercise 5.1
Ex 5.1 Class 7 Maths Question 1.
Find the complement of each of the following angles :Solution:
 Complement of the angle 20° = 90° – 20° = 70°
 Complement of the angle 63° = 90° – 63° = 27°
 Complement of the angle 57° = 90° – 57° = 33°
Ex 5.1 Class 7 Maths Question 2.
Find the supplement of each of the following angles :Solution:
Since, the sum of the measures of an angle and its supplement is 180°, therefore, The supplement of an angle of measure 105° is the angle of (180°105°), i.e., 75°.
 The supplement of an angle of measure 87° is the angle of (180°87°), i.e., 93°.
 The supplement of an angle of measure 154° is the angle of (180°154°), i.e., 26°.
Ex 5.1 Class 7 Maths Question 3.
Identify which of the following pairs of angles are complementary and which are supplementary :(i) 65°, 115°
(ii) 63°, 27°
(iii) 112°, 68°
(iv) 130°, 50°
(v) 45°, 45°
(vi) 80°, 10°
Solution:
(i) 65°, 115°∵ 65° + 115° = 180°
∴ The given pair of angles are supplementary.
(ii) 63°, 27°
∵ 63° + 27° = 90°
The given pair of angles are complementary.
(iii) 112°, 68°
∵ 112° + 68° = 180°
∴ The given pair of angles are supplementary.
(iv) 130°, 50°
∵ 130° + 50° = 180°
∴ The given pair of angles are supplementary.
(v) 45°, 45°
∵45° + 45° = 90°
∴ The given pair of angles are complementary.
(vi) 80°, 10°
∵ 80° + 10° = 90°
∴ The given pair of angles are complementary.
Ex 5.1 Class 7 Maths Question 4.
Find the angle which is equal to its complement.Solution:
Let the angle be x°.Its complement = 90° – x°
According to the question,
x° = 90° – x0
⇒ x° + x° = 90°
⇒ 2x° = 90°
⇒ x° = \(\frac { { 90 }^{ \circ } }{ 3 }\) = 45°
Ex 5.1 Class 7 Maths Question 5.
Find the angle which is equal to its supplement.Solution:
Let the angle be x°.Its supplement = 180° – x°
According to the question,
x° = 180° – x°
⇒ x° + x° = 180°
⇒ 2x° = 180°
⇒ x° = \(\frac { { 180 }^{ \circ } }{ 3 }\) = 90°
Hence, the required angle is 90°.
Ex 5.1 Class 7 Maths Question 6.
In the given figure, ∠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?Solution:
∠2 will increase with the same measure as the decrease in ∠1.Ex 5.1 Class 7 Maths Question 7.
Can two angles be supplementary if both of them are : acute?
 obtuse?
 right?
Solution:
 No
 No
 Yes
Ex 5.1 Class 7 Maths Question 8.
An angle is greater than 45°. Is its complementary angle greater than 45° or equal to 45° or less than 45°?Solution:
Since the sum of the measure of ah angle and its complement is 90°.∴ The complement of an angle of measures 45° + x°,
where x > 0 is the angle of [90° – (45° + x°)] = 90° – 45° – x°= 45° – x°.
Clearly, 45° + x° > 45° – x°
Hence, the complement of an angle > 45° is less than 45°.
Ex 5.1 Class 7 Maths Question 9.
In the adjoining figure Is ∠1 adjacent to ∠2?
 Is ∠AOC adjacent to ∠AOE?
 Do ∠COE and ∠EOD form a linear pair?
 Are ∠BOD and ∠DOA supplementary?
 Is ∠1 vertically opposite to Z4?
 What is the vertically opposite angle of ∠5
Solution:
 Yes! ∠ 1 is adjacent to ∠ 2.
 No! ∠ AOC is not adjacent to ∠ AOE.
 Yes! ∠ COE and ∠ EOD form a linear pair.
 Yes! ∠ BOD and ∠ DOA are supplementary.
 Yes! ∠ 1 is vertically opposite to ∠ 4.
 The vertically opposite angle of ∠ 5 is ∠ 2 + ∠ 3, i.e., ∠ COB.
Ex 5.1 Class 7 Maths Question 10.
Indicate which pairs of angles are : Vertically opposite angles.
 Linear pairs.
Solution:
 ∠1 and ∠4; ∠5 and ∠2 + ∠3
 ∠4 and ∠5; ∠5 and ∠1
Ex 5.1 Class 7 Maths Question 11.
In the adjoining figure, is ∠1 adjacent to ∠2? Give reasons.Solution:
No! ∠ 1 is not adjacent to ∠ 2 because their vertex is not common.Ex 5.1 Class 7 Maths Question 12.
Find the values of the angles x, y, and z in each of the following?Solution:
Ex 5.1 Class 7 Maths Question 13.
Fill in the blanks: If two angles are complementary, then the sum of their measures is __________
 If two angles are supplementary, then the sum of their measures is __________
 Two angles forming a linear pair are __________
 If two adjacent angles are supplementary, they form a __________
 If two lines intersect at a point, then the vertically opposite angles are always __________
 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 __________
Solution:
 90°
 180°
 supplementary
 linear pair
 equal
 obtuse angles
Ex 5.1 Class 7 Maths Question 14.
In the adjoining figure, name the following pairs of angles : Obtuse vertically opposite angles.
 Adjacent complementary angles.
 Equal supplementary angles.
 Unequal supplementary angles.
 Adjacent angles do not form a linear pair.
Solution:
 ∠ AOD and ∠ BOC
 ∠ EOA and ∠ AOB
 ∠ BOE and ∠ DOE
 ∠ EOC and ∠ EOA
 ∠ AOB and ∠ AOE ; ∠ AOE and ∠ EOD ; ∠ EOD and ∠ DOC.
NCERT Solutions for Class 7 Maths Chapte 5 Lines and Angles Exercise 5.2
Ex 5.2 Class 7 Maths Question 1.
State the property that is used in each of the following statements?Solution:
(i) Corresponding angle property.(ii) Alternate interior angle property.
(iii) Interior angles on the same side of the transversal are supplementary.
Ex 5.2 Class 7 Maths Question 2.
In the adjoining figure, identify : the pairs of corresponding angles.
 the pairs of alternate interior angles.
 the pairs of interior angles on the same side of the transversal.
 the vertically opposite angles
Solution:
 ∠1, ∠5; ∠2, ∠6; ∠3, ∠7 and ∠4, ∠8 are four pairs of corresponding angles.
 ∠2, ∠8 and ∠3, ∠5 are two pairs of alternate interior angles.
 ∠2, ∠5 and ∠3, ∠8 are two pairs of interior angles on the same side of the transversal.
 ∠1, ∠3; ∠2, ∠4; ∠5, ∠7 and ∠6, ∠8 are four pairs of vertically opposite angles.
Ex 5.2 Class 7 Maths Question 3.
In the adjoining figure p  q. Find the unknown anglesSolution:
Ex 5.2 Class 7 Maths Question 4.
Find the value of x in each of the following figures if l  m :Solution:
(i) Since, l  m and t is a transversal.∴ ∠x = (180° – 110°) = 70° [Corresponding angles, Linear pair]
(ii) if l  m and a is a transversal.
Then, ∠x = 1000 [Corresponding angles]
Ex 5.2 Class 7 Maths Question 5.
In the given figure, the arms of two angles are parallel. If ∠ABC = 70°, then find(i) DGC
(ii) DEF
Solution:
Ex 5.2 Class 7 Maths Question 6.
In the given figures below, decide whether l is parallel to m.Solution:
NCERT Class 7 Maths
Class 7 Maths Chapters  Maths Class 7 Chapter 5
NCERT Solutions for Class 7 Maths
NCERT Solutions of Maths Class 7 Chapterwise
Chapterwise NCERT Solutions for Class 7 Maths

NCERT Solutions For Class 7 Maths Chapter 1 Integers
NCERT Solutions For Class 7 Maths Chapter 2 Fractions and Decimals
NCERT Solutions For Class 7 Maths Chapter 3 Data Handling
NCERT Solutions For Class 7 Maths Chapter 4 Simple Equations
NCERT Solutions For Class 7 Maths Chapter 5 Lines and Angles
NCERT Solutions For Class 7 Maths Chapter 6 The Triangles and its Properties
NCERT Solutions For Class 7 Maths Chapter 7 Congruence of Triangles
NCERT Solutions For Class 7 Maths Chapter 8 Comparing Quantities
NCERT Solutions For Class 7 Maths Chapter 9 Rational Numbers
NCERT Solutions For Class 7 Maths Chapter 10 Practical Geometry
NCERT Solutions For Class 7 Maths Chapter 11 Perimeter and Area
NCERT Solutions For Class 7 Maths Chapter 12 Algebraic Expressions
NCERT Solutions For Class 7 Maths Chapter 13 Exponents and Powers
NCERT Solutions For Class 7 Maths Chapter 14 Symmetry
NCERT Solutions For Class 7 Maths Chapter 15 Visualising Solid Shapes
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