WAEC Mathematics 2016 Objective — Question 19

Question 19 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

19. In the diagram, PF, QT, RG intersect at S and PG//RG. If ∠SPQ=113° and ∠RST=220°, Find ∠PSQ. A. 22° B. 45° C. 67° D. 89°

• A. 22°
• B. 45°Correct
• C. 67°
• D. 89°

Explanation

∠RST=∠QST=22° (vertically opposite angles); ∠SQP=22° (alternate angles); ∠PSQ=180°-22°-113°=45° (sum of angles in a triangle).

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