WAEC Mathematics 2018 Objective — Question 40

Question 40 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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

• A. 90°
• B. 60°Correct
• C. 45°
• D. 30°

Explanation

Equal chords WX, XY, YZ divide the semicircle into three equal arcs of 60° each, making triangle OYZ isosceles with base angle m°=60°.

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