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WAEC Mathematics 1992 Question 20

Question 20

Circle Theorems

In the diagram below, O is the centre of the circle and ∠POR = 126°. Find ∠PQR.

Diagram for this question
  1. A.234°
  2. B.117°
  3. C.72°
  4. D.63°
  5. E.54°
Show the answer and explanation

Answer: B (117°)

Explanation

The 126° angle faces Q, so the arc PR not containing Q has central angle 360° − 126° = 234°. ∠PQR is half of that: 117°.