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WAEC Mathematics 2002 Question 39

Question 39

Triangles and Quadrilaterals

In the diagram, calculate the value of x.

Diagram for this question
  1. A.35°
  2. B.80°
  3. C.100°
  4. D.115°
Show the answer and explanation

Answer: C (100°)

Explanation

The right side meets the parallel lines at 180 − 115 = 65° inside the small triangle at the top, so the third angle there is 180 − 35 − 65 = 80°. x is on a straight line with it: x = 100°.