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WAEC Mathematics 2025 Question 43

Question 43

Angles and Polygons

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

Diagram for this question
  1. A.20°
  2. B.65°
  3. C.45°
  4. D.135°
Show the answer and explanation

Answer: C (45°)

Explanation

S, V and T lie on one line and SR ∥ VW, so ∠WVT and ∠RST are corresponding angles: x = 45°.