JAMB Mathematics 1987 Question 36

Question 36

Triangles and Quadrilaterals

In the figure above, find the value of x.

Diagram for this question
  1. A.110°
  2. B.100°
  3. C.90°
  4. D.80°
Show the answer and explanation

Answer: C (90°)

Explanation

The two lines are parallel, so the co-interior angles 2y and 2z add to 180°, giving y + z = 90°. In the triangle containing x, x = 180° − (y + z) = 90°.