Let C be a circle with centre O and PQ be a minor arc on C. Let R and S be two points on the major arc of PQ on C. If PQ subtends an angle 80° at O, find ∠PRQ and ∠PSQ, respectively.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 40° and 40°
The angle at the center is twice the angle at the circumference of a circle.
Here, ∠POQ = 80°
∠PRQ and ∠PSQ at the circumference of a circle on the minor arc PQ.
So, ∠PRQ = ∠PSQ = ∠POQ/2 = 80°/2 = 40°
Therefore, both ∠PRQ and ∠PSQ are 40°.