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GCE Mathematics 1989 Question 49

Question 49

Circle Theorems

In the diagram, O is the centre of the circle. If ∠POQ = 80° and ∠PRQ = 5x, find the value of x.

Diagram for this question
  1. A.4°
  2. B.8°
  3. C.16°
  4. D.20°
  5. E.32°
Show the answer and explanation

Answer: B (8°)

Explanation

The angle at the circumference is half the angle at the centre: 5x = 80° ÷ 2 = 40°, so x = 8°.