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# In a parallelogram PQRS, if ∠P = 60°, then other three angles are

(a) 45°, 135°, 120°

(b) 60°, 120°, 120°

(c) 60°, 135°, 135°

(d) 45°, 135°, 135°

**Solution:**

Given, PQRS is a parallelogram

The measure of ∠P is 60°.

We have to find the measure of the other three angles.

We know that the sum of adjacent angles in a parallelogram are supplementary.

So, ∠P + ∠Q = 180°

60° + ∠Q = 180°

∠Q = 180° - 60°

∠Q = 120°

We know that the opposite angles in a parallelogram are equal.

So, ∠P = ∠R

Now, ∠R = 60°

Similarly, ∠S = ∠Q

Now, ∠S = 120°

Therefore, the other three angles are 120°, 60° and 120°.

**✦ Try This: **In a parallelogram ABCD, if ∠A = 50°, then other three angles are

**☛ Also Check: ** NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 30**

## In a parallelogram PQRS, if ∠P = 60°, then other three angles are (a) 45°, 135°, 120° (b) 60°, 120°, 120° (c) 60°, 135°, 135° (d) 45°, 135°, 135°

**Summary:**

In a parallelogram PQRS, if ∠P = 60°, then other three angles are 120°, 60°, 120°.

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