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WAEC Mathematics 1992 Question 25

Question 25

Triangles and Quadrilaterals

The angles marked in the diagram below are measured in degrees. Find x

Diagram for this question
  1. A.15°
  2. B.24°
  3. C.30°
  4. D.36°
  5. E.48°
Show the answer and explanation

Answer: B (24°)

Explanation

The marked angles are the exterior angles of the pentagon, which add up to 360°: 2x + 3x + 5x + 3x + 2x = 15x = 360°, so x = 24°.