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JAMB Mathematics 2005 Question 24

Question 24

Triangles and Quadrilaterals

In the diagram above, calculate the value of x.

Diagram for this question
  1. A.60°
  2. B.100°
  3. C.120°
  4. D.140°
Show the answer and explanation

Answer: C (120°)

Explanation

The triangle's angle at the left line is 180° − 100° = 80°, so its angle at P is 180° − 40° − 80° = 60°. Using the parallel lines, the angle between the slanting line and the lower line is 60°, so x = 180° − 60° = 120°.