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WAEC Mathematics 2018 Question 40

Question 40

Circle Theorems

The diagram shows a trapezion inscribed in a semi-circle. If O is the mid-point of WZ and |WX| = |XY| = |YZ|, calculate the value of m.

Diagram for this question
  1. A.90°
  2. B.60°
  3. C.45°
  4. D.30°
Show the answer and explanation

Answer: B (60°)

Explanation

Equal chords cut equal angles at O, so each is 180° ÷ 3 = 60°. Triangle OYZ is isosceles (radii) with apex angle 60°, so it is equilateral and m = 60°.