WAEC Mathematics 2016 Objective — Question 41

Question 41 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

41. In the diagram above, O is the centre of the circle, ∠QPS=100°, ∠PSQ=60° and ∠QSR=80°. Calculate ∠SQR. A. 20° B. 40° C. 60° D. 80°

• A. 20°Correct
• B. 40°
• C. 60°
• D. 80°

Explanation

∠RPQ=80° (angle in the same segment); ∠SPR=100-80=20°; ∠SQR=∠SPR=20° (angles in the same segment).

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