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RBSE Solutions for Class 7 Maths Chapter 7 Lines and Angles Ex 7.1

March 25, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 7 Maths Chapter 7 Lines and Angles Ex 7.1 is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 7 Lines and Angles Exercise 7.1.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 7
Subject Maths
Chapter Chapter 7
Chapter Name Lines and Angles
Exercise Ex 7.1
Number of Questions 8
Category RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 7 Lines and Angles Ex 7.1

Question 1
Seprate out (Filter out) the (RBSESolutions.com) supplementary and complementary angles from the following pairs of angles :
(i) 140°, 40°
(ii) 170°, 10°
(iii) 75°, 15°
(iv) 33°, 57°
(v) 115°, 65°
(vi) 25°, 65°
Solution:
(i) 140°, 40°
Sum of angles = 140° + 40° = 180°
∴ These are (RBSESolutions.com) supplementary angles.

(ii) 170°, 10°
Sum of angles = 170° + 10° = 180°
∴ These are supplementary angles.

(iii) 75°, 15°
Sum of angles = 75° + 15° = 90°
∴ These are complementary (RBSESolutions.com) angles.

(iv) 33°, 57°
Sum of angles = 33° + 57° = 90°
∴ These are complementary angles.

(v) 115°, 65°
Sum of angles = 115° + 65° – 180°
∴ These are (RBSESolutions.com) supplemental angles.

(vi) 25°, 65°
Sum of angles = 25° + 65° = 90°
∴ It is complementary angles.

RBSE Solutions

Question 2
Find those pairs of angles that are complementary to each other (RBSESolutions.com) and also of same measure.
Solution:
Let one angles is x°,
∴ its complementary’ angle = x°
∴ x° + x° = 90°
⇒ 2x° = 90° ⇒ x° = \(\frac { { 90 }^{ 0 } }{ 2 }\) = 45°
Required pair of angles = 45°, 45°

Question 3
What will be the value (RBSESolutions.com) of supplementary of a right angle?
Solution:
Let x° be the supplementary angle of 90°
∴ Sum of supplementary angles = 180°.
∴ 90° + x°= 180°
⇒ x° = 180° – 90° = 90
Required supplement angle = 90°

Question 4
Write the pairs of adjacent angles (RBSESolutions.com) for the following figure :
RBSE Solutions for Class 7 Maths Chapter 7 Lines and Angles Ex 7.1
Solution:
(i) ∠POQ व ∠QOR
(ii) ∠POQ व ∠QOS
(iii) ∠POR व ∠ROS
(iv) ∠QOR व ∠ROS

Question 5
Find the following pairs of angles (RBSESolutions.com) from the given figure :
RBSE Solutions for Class 7 Maths Chapter 7 Lines and Angles Ex 7.1
(i) Similar supplementary angles.
(ii) Dissimilar supplementary angles
(iii) Vertically opposite angles
(iv) Adjacent angles which are not linear pair.
(v) Adjacent (RBSESolutions.com) complementary angles
Solution:
(i) Similar supplementary angles are ∠QOT and ∠TOP.
(ii) Dissimilar supplementary angles are ∠QOS and ∠SOP and ∠POR and ∠ROQ.
(iii) Vertically opposite angles ∠ROQ and ∠SOP.
(iv) Adjacent angles are ∠QOS and ∠SOT, ∠SOT and ∠TOP and ∠TOP and ∠POR.
(y) Adjacent complementary angles arc ∠QOS and ∠SOT.
(v) Adjacent complementary angles are ∠QOS and ∠SOT.

RBSE Solutions

Question 6
In which of the following figures (RBSESolutions.com) the angles a and b are adjacent?
RBSE Solutions for Class 7 Maths Chapter 7 Lines and Angles Ex 7.1
Solution:
(i) ∠a, ∠b are not adjacent angles (RBSESolutions.com) because they have no common vertex.
(ii) ∠a, ∠b are not adjacent angles because they have no common vertex. .
(iii) ∠a, ∠b are adjacent angles
(iv) ∠a, ∠b are adjacent angles.

Question 7
Find the value of (RBSESolutions.com) unknown angles in the following figures :
RBSE Solutions for Class 7 Maths Chapter 7 Lines and Angles Ex 7.1
Solution:
(i) ∵∠x+ 125°= 180°
∠x = 180°- 125° = 55°
Two lines (RBSESolutions.com) intersect each other
∴ ∠y = 125° (vertically opposite angles)
(ii) ∠x + 20° = 180°
[ ∠x = 180° – 20°= 160°]
(iii) Two lines intersect each other
∠x = 55° (vertically opposite angles)
∵ ∠x + ∠z = 180° (x, z is a linear pair whose sum is 180°)
55° + ∠z = 180°
⇒ ∠z = 180°- 55°= 125°
Clearly ∠y + ∠x = 90°
∠y + 55° = 90°
∠y = 90° – 55° = 35°

Question 8
Identify (RBSESolutions.com) True or False :
(i) Sum of two angles forming a linear pair is 180°.
(ii) Sum of vertically opposite angles is 90°.
(iii) If two angles are supplementary than their sum is 180°.
(iv) If two adjecent angles are supplementary then they are called a linear pair.
Solution:
(i) True
(ii) False
(iii) True
(iv) True

RBSE Solutions

We hope the RBSE Solutions for Class 7 Maths Chapter 7 Lines and Angles Ex 7.1 will help you. If you have any query regarding Rajasthan Board RBSE Class 7 Maths Chapter 7 Lines and Angles Exercise 7.1, drop a comment below and we will get back to you at the earliest.

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