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WAEC Mathematics 2015 Question 18

Question 18

Angles and Polygons

In the diagram, PQ//RT, QR//SU, ∠PQR = 48° and ∠RTS = x. Find the value of x.

Diagram for this question
  1. A.134°
  2. B.132°
  3. C.96°
  4. D.48°
Show the answer and explanation

Answer: B (132°)

Explanation

∠QRT = ∠PQR = 48° (alternate angles, PQ//RT). Since QR//SU, ∠RTS and ∠QRT are co-interior, so x = 180° − 48° = 132°.