WAEC Mathematics 2020 Question 33

Question 33

Circle Theorems

In the diagram, PQR is a circle with centre O. If ∠OPQ = 48°, find the value of m.

Diagram for this question
  1. A.96°
  2. B.90°
  3. C.68°
  4. D.42°
Show the answer and explanation

Answer: A (96°)

Explanation

OP = OQ (radii), so ∠OQP = 48°. Angle m is an exterior angle of triangle OPQ, so m = 48° + 48° = 96°.