passwella.
Menu

WAEC Mathematics 2010 Question 31

Question 31

Circle Theorems

In the diagram, O is the centre of the circle. ∠SQR = 60°, ∠SPR = y and ∠SOR = 3x. Find the value of (x + y).

Diagram for this question
  1. A.110°
  2. B.100°
  3. C.80°
  4. D.70°
Show the answer and explanation

Answer: B (100°)

Explanation

Angles in the same segment: y = ∠SQR = 60°. The angle at the centre is twice that: 3x = 120°, so x = 40°. x + y = 100°.