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WAEC Mathematics 2013 Question 42

Question 42

Angles and Polygons

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

  1. A.15
  2. B.12
  3. C.9
  4. D.6
Show the answer and explanation

Answer: B (12)

Explanation

Exterior + 5 × exterior = 180°, so the exterior angle is 30° and n = 360 ÷ 30 = 12.