WAEC Mathematics 2012 Objective — Question 20

Question 20 of 50 from the West African Examinations Council (WAEC) Mathematics 2012 Objective paper, with the correct answer and a full explanation.

In the diagram above, O is the centre of the circle PQRS and ∠PSR=86°. If ∠POR=x°, find x°.

• A. 274°
• B. 172°Correct
• C. 129°
• D. 86°

Explanation

The angle at the centre is twice the angle at the circumference subtended by the same arc: x° = 2×86° = 172°.

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