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WAEC Mathematics 2016 Question 50

Question 50

Triangles and Quadrilaterals

From the diagram, which of the following is true?

Diagram for this question
  1. A.m + n + p = 180°
  2. B.m + n = 180°
  3. C.m − p + n
  4. D.n = m + p
Show the answer and explanation

Answer: D (n = m + p)

Explanation

n is an exterior angle of the triangle, and p equals the triangle's top angle (vertically opposite), so n = m + p.