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WAEC Mathematics 2008 Question 22

Question 22

Angles and Polygons

In the diagram, PQ // RS, QU // PT and ∠PSR = 42°. Find angle x.

Diagram for this question
  1. A.84°
  2. B.48°
  3. C.42°
  4. D.32°
Show the answer and explanation

Answer: C (42°)

Explanation

Because PQ ∥ RS, the angle PQ makes with PT equals 42° (corresponding angles). Because QU ∥ PT, x is the corresponding angle at Q, so x = 42°.