WAEC Mathematics 2026 Question 5

Question 5

Circle Theorems

In the diagram, P, Q, R and S are points on the circle with centre O and reflex ∠POR = 220°. Find the angle marked x

Diagram for this question
  1. A.40°
  2. B.140°
  3. C.70°
  4. D.110°
Show the answer and explanation

Answer: D (110°)

Explanation

The angle at S stands on the arc subtended by the reflex angle at the centre, so x = ½ × 220° = 110°.