Question

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

Options

• 45°, 135°, 120°

• 60°, 120°, 120°

• 60°, 135°, 135°

• 45°, 135°, 135°

Answer 1

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

Explanation:

Given, ∠P = 60°

Since, in a parallelogram, adjacent angles are supplementary,

∠P + ∠Q = 180°

⇒ 60° + ∠Q = 180°

⇒ ∠Q = 120°

Also, opposite angles are equal in a parallelogram.

Therefore, ∠R = ∠P = 60°, ∠S = ∠Q = 120°

Hence, other three angles are 60°, 120°, 120°.