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WAEC Mathematics 2017 Question 44

Question 44

Triangles and Quadrilaterals

Find the value of m in the diagram.

Diagram for this question
  1. A.72°
  2. B.68°
  3. C.44°
  4. D.34°
Show the answer and explanation

Answer: C (44°)

Explanation

The exterior angle 2x equals the sum of the opposite interior angles: 2x = 68° + x, so x = 68°. Then m = 180° − 2x = 180° − 136° = 44°.