WAEC Mathematics 2016 Objective — Question 20

Question 20 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

20. In the diagram, O is the centre of the circle, ∠XOZ=(10m)° and ∠XWZ=m°. Calculate the value of m°. A. 30° B. 36° C. 40° D. 72°

• A. 30°Correct
• B. 36°
• C. 40°
• D. 72°

Explanation

Reflex ∠XOZ=360-10m=2m° (angle at centre = 2×angle at circumference) → 360=12m → m=30°.

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