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WAEC Mathematics 2026 Question 47

Question 47

Circle Theorems

In the diagram, Q, R and S are points on the circle centre O. If ∠QRS = 62°, find ∠SQR

Diagram for this question
  1. A.90°
  2. B.28°
  3. C.49°
  4. D.14°
Show the answer and explanation

Answer: B (28°)

Explanation

QR passes through O, so it is a diameter and ∠QSR = 90°. Then ∠SQR = 180° − 90° − 62° = 28°.