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WAEC Mathematics 2013 Question 22

Question 22

Triangles and Quadrilaterals

Find the value of m in the diagram.

Diagram for this question
  1. A.34°
  2. B.27°
  3. C.23°
  4. D.17°
Show the answer and explanation

Answer: D (17°)

Explanation

The two vertical lines are parallel. The bend of 153° turns the line by 180° − 153° = 27°, and the angles with the parallel lines give 7m + 2m + 27° = 180°. So 9m = 153° and m = 17°.