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JAMB Mathematics 1991 Question 37

Question 37

Triangles and Quadrilaterals

In the figure above, find the value of y.

Diagram for this question
  1. A.28°
  2. B.122°
  3. C.150°
  4. D.152°
Show the answer and explanation

Answer: B (122°)

Explanation

The 152° bend makes the slanting top line rise at 28° to the parallels. The next line turns a further 30°, so it meets the bottom parallel at 28° + 30° = 58°. y is on the other side of that line, so y = 180° − 58° = 122°.