GCE Mathematics 1989 Question 5

Question 5

Circle Theorems

In the diagram, O is the centre of the circle, if ∠QRS = 62°, find the value of ∠SQR.

Diagram for this question
  1. A.14°
  2. B.28°
  3. C.31°
  4. D.45°
  5. E.90°
Show the answer and explanation

Answer: B (28°)

Explanation

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