WAEC Mathematics 2014 Question 22

Question 22

Angles and Polygons

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

Diagram for this question
  1. A.20
  2. B.25
  3. C.45
  4. D.65
Show the answer and explanation

Answer: B (25)

Explanation

x = 45° is an exterior angle of triangle VUT, so x = y + 20°. Hence y = 25.