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WAEC Mathematics 2005 Question 17

Question 17

Angles and Polygons

In the diagram, PQRS is a parallelogram and ∠QRT = 30°. Find x.

Diagram for this question
  1. A.95°
  2. B.100°
  3. C.120°
  4. D.150°
Show the answer and explanation

Answer: D (150°)

Explanation

SRT is a straight line, so ∠QRS = 180 − 30 = 150°. Opposite angles of a parallelogram are equal, so x = ∠SPQ = 150°.