PQRS is a cyclic quadrilateral and PQ is the diameter of the circle. If ∠RPQ = 23°, then what is the measure of ∠PSR?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 113°
If PQ is the diameter, then ∠PRQ will be 90º (Angle made by a diameter in a segment is 90º)
∠PQR = 180 - 90 - 23 = 67º
In a cyclic quadrilateral, Opposite angles are supplementary.
Thus, ∠PQR + ∠PSR = 180
⇒ ∠PSR = 180 - 67 = 113º