WAEC Mathematics 2017 Objective — Question 20

Question 20 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

In the diagram above, XY is a straight line, ∠POX=∠POQ and ∠ROY=∠QOR. Find the value of ∠POQ+∠ROY.

• A. A. 60°
• B. B. 90°Correct
• C. C. 100°
• D. D. 120°

Explanation

Since ∠POX+∠POQ+∠ROY+∠QOR=180° (angles on a straight line), and ∠POX=∠POQ, ∠ROY=∠QOR: 2∠POQ+2∠ROY=180°, so ∠POQ+∠ROY=90°.

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