In the diagram O is the center of the circle, ∠SOR = 64° and ∠PSO = 36°….

In the diagram O is the center of the circle, ∠SOR = 64° and ∠PSO = 36°. Calculate ∠PQR

Correct Answer: Option D

Explanation

< OSR = < ORS = (frac{180° – 64°}{2}) = 58°

< PSR = 36° + 58° = 94°

< PSR + < PQR = 180°

94° + < PQR = 180° (implies) < PQR = 180° – 94° = 86°