In a given figure, O is the centre of the circle.∠POQ = 54°. What is the measure (in degree) of ∠PRQ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 153°
In the above circle ∠PSQ = ∠POQ/2 = 54°/2 = 27°
PQRS is a cyclic quadrilateral.
So ∠PSQ + ∠PRQ = 180°
∠PRQ = 180° - 27° = 153°