O is the incentre of the triangle PQR. If angle POR = 140 degree, then what is the angle PQR?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 100°.
O is the incenter
∠POR = 140°
According to the given question,
∠POR = 90° + 1/2(∠PQR)
⇒ 140° = 90° + 1/2(∠PQR)
⇒ 1/2(∠PQR) = 50
⇒ (∠PQR) = 100°
Hence the required ∠is 100°.