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WAEC Mathematics 2025 Question 44

Question 44

Angles and Polygons

In the diagram SR ∥ UW, ∠WVT = x, ∠VUT = y, ∠RST = 45° and ∠VTU = 20°. Find the angle marked y.

Diagram for this question
  1. A.20°
  2. B.25°
  3. C.45°
  4. D.135°
Show the answer and explanation

Answer: B (25°)

Explanation

∠UVT = 180° − 45° = 135° (angles on the straight line UVW). In triangle UVT, y = 180° − 135° − 20° = 25°.