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WAEC Mathematics 2010 Question 27

Question 27

Angles and Polygons

The sum of the exterior angles of an n-sided convex polygon is half the sum of its interior angles. Find n.

  1. A.6
  2. B.8
  3. C.9
  4. D.12
Show the answer and explanation

Answer: A (6)

Explanation

360° = ½ × (n − 2) × 180°, so n − 2 = 4 and n = 6.