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WAEC Mathematics 2020 Question 36

Question 36

Circle Theorems

In the diagram, O is the centre of the circle. SOQ is the diameter and ∠SRP = 37°. Find ∠PSQ.

Diagram for this question
  1. A.127°
  2. B.65°
  3. C.53°
  4. D.37°
Show the answer and explanation

Answer: C (53°)

Explanation

∠SQP = ∠SRP = 37° (angles in the same segment) and ∠SPQ = 90° (angle in a semicircle). So ∠PSQ = 180° − 90° − 37° = 53°.