WAEC Mathematics 2010 Question 10

Question 10

Triangles and Quadrilaterals

What is the value of m in the diagram?

Diagram for this question
  1. A.20°
  2. B.30°
  3. C.40°
  4. D.50°
Show the answer and explanation

Answer: B (30°)

Explanation

Vertically opposite angles are equal: 4m − 15 = m + 75, so 3m = 90 and m = 30°.