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WAEC Mathematics 2023 Question 21

Question 21

Triangles and Quadrilaterals

Find the value of m in the diagram.

Diagram for this question
  1. A.140°
  2. B.130°
  3. C.50°
  4. D.40°
Show the answer and explanation

Answer: B (130°)

Explanation

Draw a line through the right-angled corner parallel to the arrowed lines. The 40° angle is split off below, so the upper slanting line meets that parallel at 90° − 40° = 50°. Then m and 50° are co-interior angles, so m = 180° − 50° = 130°.