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WAEC Mathematics 2017 Question 20

Question 20

Angles and Polygons

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

Diagram for this question
  1. A.60°
  2. B.90°
  3. C.100°
  4. D.120°
Show the answer and explanation

Answer: B (90°)

Explanation

The four angles on line XY add to 180°: 2∠POQ + 2∠ROY = 180°, so ∠POQ + ∠ROY = 90°.