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WAEC Mathematics 2012 Question 20

Question 20

Circle Theorems

In the diagram, O is the centre of the circle PQRS and ∠PSR = 86°. If ∠POR = x°, find x.

Diagram for this question
  1. A.274
  2. B.172
  3. C.129
  4. D.86
Show the answer and explanation

Answer: B (172)

Explanation

The angle at the centre is twice the angle at the circumference on the same arc: x = 2 × 86 = 172.