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WAEC Mathematics 2000 Question 24

Question 24

Circle Theorems

In the diagram, PQRS is a circle centre O. POR is a diameter and ∠PRQ = 40°. Calculate ∠QSR.

Diagram for this question
  1. A.30°
  2. B.40°
  3. C.45°
  4. D.50°
Show the answer and explanation

Answer: D (50°)

Explanation

∠PQR = 90° (angle in a semicircle), so ∠QPR = 50°. ∠QSR = ∠QPR (same arc QR) = 50°.