O is the incenter of triangle PQR. If angle POR = 140°, find angle PQR.
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Correct answer: B
Explanation
Has been given :
O = incentre of triangle PQR
∠POR = 140°
According to the formula:
angle at center
∠POR = 90° + (1/2)∠PQR
140 = 90 + (1/2)∠PQR
140 − 90 = (1/2)∠PQR
50 = (1/2)∠PQR
∠PQR = 100°