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WAEC Mathematics 1996 Question 28

Question 28

Triangles and Quadrilaterals

In the diagram below, find x correct to the nearest degree.

Diagram for this question
  1. A.15°
  2. B.25°
  3. C.26°
  4. D.36°
  5. E.72°
Show the answer and explanation

Answer: C (26°)

Explanation

The four marked angles are the angles of the four-sided figure (or vertically opposite to them), so they add up to 360°: 4x + 3x + 5x + 2x = 14x = 360°, x = 25.7° ≈ 26°.