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WAEC Mathematics 2004 Question 30

Question 30

Circle Theorems

In the diagram, O is the centre of the circle where OS//QR and ∠SOR = 35°. Find the value of ∠QPR

Diagram for this question
  1. A.35°
  2. B.45°
  3. C.55°
  4. D.70°
Show the answer and explanation

Answer: C (55°)

Explanation

∠ORQ = ∠SOR = 35° (alternate angles). OQ = OR, so ∠OQR = 35° and ∠QOR = 110°. ∠QPR = ½ × 110° = 55°.