# In the adjoining figure, 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

**Solution:**

We use the geometry concepts like supplementary angles, vertically opposite angles and adjacent angles to solve the problem.

(i) Obtuse vertically opposite angles mean angles greater than 90°and form a pair of vertically opposite angles. So, the angles are ∠AOD and ∠BOC

(ii) Adjacent complementary angles are those angle that have one common vertex and one common arm, non - common arms are on either sides of the common arm and their sum is equal to 90°. ∠EOA and ∠AOB are adjacent complementary angles.

(iii) Equal supplementary angles have a sum of angles 180° and supplementary angles are equal. ∠EOB and ∠EOD are equal supplementary angles.

(iv) Unequal supplementary angles have a sum of angles 180° and supplementary angles are unequal. ∠EOA and ∠EOC form a pair of unequal supplementary angles.

(v) Adjacent angles that do not form a linear pair. (Linear pairs are adjacent angles whose sum is equal to 180^{o}). ∠AOB and ∠AOE; ∠AOE and ∠EOD; ∠EOD and ∠COD are such pairs of angles.

**Video Solution:**

## In the adjoining figure, 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.

### NCERT Solutions for Class 7 Maths - Chapter 5 Exercise 5.1 Question 14

In the adjoining figure, 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.

(i) ∠AOD = ∠BOC, (ii)∠EOA and ∠AOB , (iii)∠EOB and ∠EOD , (iv)∠EOA and ∠EOC , (v) ∠AOB and ∠AOE; ∠AOE and ∠EOD; ∠EOD and ∠COD.