Question

In the given figure, chord AB = chord PB and angle C = 50°. The angle PAB is equal to ______.

Options

• 65°

• 50°

• 75°

• 60°

Answer 1

In the given figure, chord AB = chord PB and angle C = 50°. The angle PAB is equal to 50°.

Explanation: 

We know that,

Angle in same segment are equal.

∴ ∠APB = ∠ACB = 50°

In △ PAB,

PB = AB (Given)

We know that,

Angles opposite to equal sides of a triangle are equal.

∴ ∠PAB = ∠APB = 50°.