# In the adjoining figure:

(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?

**Solution:**

We use the basic concepts of geometry like vertically opposite angles, supplementary angles, linear pairs etc. to solve the given problems.

(i) Yes, because they have common vertex o and common arm OC.

(ii) No, they have non-common arms on either side of common arms.

(iii) Yes, they form linear pair.

(iv) Yes, they are supplementary angles.

(v) Yes, they are vertical angles because they are formed due to the intersection of straight lines.

(vi) Vertically opposite angle of ∠5 is ∠2 +∠3 = ∠COB.

**Video Solution:**

## In the adjoining figure: (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?

### NCERT Solutions for Class 7 Maths - Chapter 5 Exercise 5.1 Question 9

In the adjoining figure: (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?

(i) Yes, (ii) No, (iii) Yes, (iv) Yes, (v) Yes, (vi) Vertically opposite angle of angle 5 is the sum of angles 2 and 3.