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WAEC Mathematics 2017 Question 36

Question 36

Angles and Polygons

In the diagram, NQ//TS, ∠RTS = 50° and ∠PRT = 100°. Find the value of ∠NPR.

Diagram for this question
  1. A.110°
  2. B.130°
  3. C.140°
  4. D.150°
Show the answer and explanation

Answer: B (130°)

Explanation

∠PRQ = 180° − 100° = 80° and ∠PQR = ∠RTS = 50° (alternate angles). So ∠QPR = 50° and ∠NPR = 180° − 50° = 130°.