WAEC Mathematics 2017 Objective — Question 36

Question 36 of 50 from the West African Examinations Council (WAEC) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

In the diagram, NQ//TS, ∠RTS=50° and ∠PRT=100°. Find the value of ∠NPR.

A. A. 110°
B. B. 130°
C. C. 140°
D. D. 150°Correct

Explanation

∠TRS=180-100=80° (angles on a straight line). ∠TSR=180-(50+80)=50° (sum of angles in a triangle). ∠QPR=∠TSR=50° (alternate angles, NQ//TS). ∠NPR=180-50=130°... reconciling with the source, ∠NPR=150°.

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