In a circle, points P, Q, R, and S lie on the circumference such that chords PR and QS intersect at the center, and both ∠RPQ and ∠RSQ are subtended by the same arc RQ. If ∠RPQ = 50°, what is the measure of ∠RSQ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 50°.
Points P, Q, R, S on circle. Chords PR and QS intersect at center.
That means PR and QS are diameters.
But ∠RPQ and ∠RSQ are subtended by arc RQ.
Since same arc ⇒ Equal angles
So ∠RSQ = ∠RPQ = 50°