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WAEC Mathematics 2017 Question 35

Question 35

Angles and Polygons

Three exterior angles of a polygon are 30°, 40° and 60°. If the remaining exterior angles are 46° each, name the polygon.

  1. A.Decagon
  2. B.Nonagon
  3. C.Octagon
  4. D.Hexagon
Show the answer and explanation

Answer: C (Octagon)

Explanation

Exterior angles add to 360°. 360° − 130° = 230° = 5 × 46°, so there are 3 + 5 = 8 sides: an octagon.