PQ is a diameter of a circle with centre O. The tangents at R meets PQ produced at A. If ∠RPQ = 27°, then measure of ∠RQP is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 63°.
Given that
PQ is a diameter of a circle with centre O.
The tangents at R meets PQ produced at A. If ∠RPQ = 27°,
∠PRQ = 90°
As we know,
⇒ ∠RPQ + ∠PQR = 90°
⇒ ∠PQR = 90° - 27°
⇒ ∠PQR = 63°