passwella.
Menu

WAEC Mathematics 2016 Question 19

Question 19

Angles and Polygons

In the diagram, PF, QT, RG intersect at S and PQ/RG. If ∠SPQ = 113° and ∠RST = 22°, find ∠PSQ.

Diagram for this question
  1. A.22°
  2. B.45°
  3. C.67°
  4. D.89°
Show the answer and explanation

Answer: B (45°)

Explanation

∠QSG = ∠RST = 22° (vertically opposite). PQ//RG makes ∠SPQ + ∠PSG = 180°, so ∠PSG = 67° and ∠PSQ = 67° − 22° = 45°.