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^{o}o – 75^{o}

= 105^{o}(opposite angles in cyclic quadrilateral are supplementary)