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WAEC Mathematics 2022 Question 27

Question 27

Angles and Polygons

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

Diagram for this question
  1. A.86°
  2. B.70°
  3. C.51°
  4. D.42°
Show the answer and explanation

Answer: C (51°)

Explanation

Triangle MNR is isosceles, so ∠NMR = 35°. ∠MRS = 180° − 86° = 94°. In triangle MRS, x = 180° − 35° − 94° = 51°.