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WAEC Mathematics 2023 Question 26

Question 26

Angles and Polygons

The interior angle of the regular polygon is 6 times its exterior angle. Find the number of sides of the polygon.

  1. A.12
  2. B.14
  3. C.15
  4. D.10
Show the answer and explanation

Answer: B (14)

Explanation

Exterior + interior = 180° and interior = 6 × exterior, so 7 × exterior = 180° and exterior = 180°/7. Sides = 360° ÷ (180°/7) = 14.