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WAEC Mathematics 1999 Question 47

Question 47

Triangles and Quadrilaterals

Which of the following statements is true from the diagram below?

Diagram for this question
  1. A.m + n = 90°
  2. B.m = n
  3. C.n > 45°
  4. D.m < 45°.
Show the answer and explanation

Answer: A (m + n = 90°)

Explanation

The co-interior angles between the parallel lines add to 180°: 2m + 2n = 180°, so m + n = 90°.