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WAEC Mathematics 1992 Question 22

Question 22

Circle Theorems

In the diagram below, O is the centre of the circle PQRS and ∠QPS = 36°. Find ∠QOS

Diagram for this question
  1. A.36°
  2. B.72°
  3. C.108°
  4. D.144°
  5. E.288°
Show the answer and explanation

Answer: B (72°)

Explanation

The angle at the centre is twice the angle at the circumference on the same arc: ∠QOS = 2 × 36° = 72°.