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JAMB Mathematics 2006 Question 31

Question 31

Triangles and Quadrilaterals

In the diagram above, find the value of x.

Diagram for this question
  1. A.55°
  2. B.50°
  3. C.45°
  4. D.40°
Show the answer and explanation

Answer: C (45°)

Explanation

The angle inside the vertex is 360° − 260° = 100°. A line through the vertex parallel to the others splits it into 55° and x (alternate angles), so x = 100° − 55° = 45°.