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UI Post-UTME Mathematics 2014 Question 26

Question 26

Angles and Polygons

Which of the following polygons has each of its interior angles twice the exterior angle?

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

Answer: C (Regular Hexagon)

Explanation

Interior = 2 × exterior and they add to 180°, so each exterior angle is 60° and n = 6. Equal angles throughout means a regular hexagon.