PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If o find
-
A.
75o -
B.
37(frac{1}{2})o -
C.
127(frac{1}{2})o -
D.
105o
Correct Answer: Option D
Explanation
PSO = 90o(angle in a semicircle)
SPO = 180o – (90o + 15o) = 75oo – 75o
= 105o(opposite angles in cyclic quadrilateral are supplementary)