WAEC Mathematics 2022 Objective — Question 27

Question 27 of 50 from the West African Examinations Council (WAEC) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

In the diagram, MRW and MNST are straight lines. |MN|=|NR|, ∠MNR=110° and ∠WRS=86°. Find the value of x°.

A. 86°
B. 70°Correct
C. 51°
D. 42°

Explanation

∠MRN = 180°−110°−x (angles in triangle)... Using the exterior angle theorem and angle relations given in the diagram: ∠NRS=180°−86°−35°=59° (base angle of isosceles triangle MNR); then x=180°−110°=70° following the straight-line/triangle angle relations shown.

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