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WAEC Mathematics 2020 Question 30

Question 30

Angles and Polygons

In the diagram, MN ∥ PQ, ∠MNP = 2x, and ∠NPQ = (3x − 50°). Find the value of ∠NPQ.

Diagram for this question
  1. A.200°
  2. B.150°
  3. C.120°
  4. D.100°
Show the answer and explanation

Answer: D (100°)

Explanation

∠MNP and ∠NPQ are alternate angles, so 2x = 3x − 50°, giving x = 50°. Then ∠NPQ = 3(50°) − 50° = 100°.