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WAEC Mathematics 1996 Question 31

Question 31

Angles and Polygons

In the diagram below, PQ is parallel to RST. /RS/ = /SQ/ = /TQ/ and <PQR = 35°. Calculate <SQT

Diagram for this question
  1. A.30°
  2. B.35°
  3. C.40°
  4. D.70°
  5. E.110°
Show the answer and explanation

Answer: C (40°)

Explanation

<QRS = <PQR = 35° (alternate angles). RS = SQ, so <SQR = 35° and the exterior angle <QST = 70°. SQ = TQ, so <QTS = 70° too, and <SQT = 180° − 140° = 40°.