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WAEC Mathematics 2016 Question 46

Question 46

Angles and Polygons

The ratio of the exterior angle to the interior angle of a regular polygon is 1:11. How many sides has the polygon?

  1. A.30
  2. B.24
  3. C.18
  4. D.12
Show the answer and explanation

Answer: B (24)

Explanation

Exterior = 1/12 × 180° = 15°, so the number of sides = 360 ÷ 15 = 24.