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WAEC Mathematics 2014 Question 21

Question 21

Angles and Polygons

In the diagram, SR is parallel to UW, ∠WVT = x°, ∠VUT = y°, ∠RSV = 45° and ∠VTU = 20°. Find the value of x.

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

Answer: B (45)

Explanation

SVT is a straight line crossing the parallel lines SR and UW, so x equals the corresponding angle ∠RSV = 45°.