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.

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 :

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 :

(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.

Question 6

In which of the following figures (RBSESolutions.com) the angles a and b are adjacent?

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 :

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

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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