# In the adjoining figure, p || q. Find the unknown angles

**Solution:**

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

First, by using linear pair find the measure of ∠e and then find the corresponding and vertically opposite angle to ∠e and again by using linear pair find the value of ∠b and its vertically opposite angle.

Given p || q and it is intersected by a transversal.

∠π = 125°(corresponding angles)

125° + ∠π = 180°(Linear pair)

∠π = 180° - 125°

∠π = 55°

∠π = ∠f = 55°(vertically opposite angles)

∠π = ∠a = 55°(Corresponding angles)

∠π + ∠π = 180°(Linear pair)

55° + ∠π = 180°

∠π = 180° − 55°

∠π =125°

Also, ∠π = ∠π = 125°(Vertically opposite angles)

∠π = ∠π = 55°(Vertically opposite angles)

Thus, ∠π = 55°; ∠π = 125°; ∠π = 55°; ∠π = 125°; ∠π = 55° & ∠π = 55°

**Video Solution:**

## In the adjoining figure, p || q. Find the unknown angles

### NCERT Solutions for Class 7 Maths - Chapter 5 Exercise 5.2 Question 3

In the adjoining figure, p || q. Find the unknown angles

∠π = 55°; ∠π = 125°; ∠π = 55°; ∠π = 125°; ; ∠π = 55° & ∠π = 55°