# 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.

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° and ∠π = 55°.

**β Check: **NCERT Solutions Class 7 Maths Chapter 5

**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

**Summary:**

In the adjoining figure, p || q. The unknown angles are ∠π = 55°; ∠π = 125°; ∠π = 55°; ∠π = 125°; ; ∠π = 55° and ∠π = 55°.

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