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WAEC Mathematics 2024 Question 35

Question 35

Angles and Polygons

In the diagram, PQ // RS, ∠WYZ = 44° and ∠WXZ = 50°. Find ∠WTX.

Diagram for this question
  1. A.65°
  2. B.68°
  3. C.86°
  4. D.90°
Show the answer and explanation

Answer: C (86°)

Explanation

∠XWY = ∠WYZ = 44° (alternate angles). In triangle WTX, ∠WTX = 180° − 44° − 50° = 86°.