Home » PQRS is a cyclic quadrilateral with PQ as the diameter of the circle. If o find

PQRS is a cyclic quadrilateral with PQ as the diameter of the circle. If o find

PQRS is a cyclic quadrilateral with PQ as the diameter of the circle. If o find

A.
75^o
B.
37(frac{1}{2})^o
C.
127(frac{1}{2})^o
D.
105^o

Correct Answer: Option D

Explanation

PSO = 90^o(angle in a semicircle)
SPO = 180^o – (90^o + 15^o) = 75^oo – 75^o
= 105^o(opposite angles in cyclic quadrilateral are supplementary)