WAEC Mathematics 2003 Question 33

Question 33

Angles and Polygons

Which of the following is/are not the interior angle(s) of a regular polygon? I. 108° II. 116° III. 120°

  1. A.I only
  2. B.II only
  3. C.III only
  4. D.I and III only
Show the answer and explanation

Answer: B (II only)

Explanation

The exterior angles would be 72°, 64° and 60°. 360 ÷ 64 is not a whole number, so 116° is impossible; 108° (pentagon) and 120° (hexagon) are possible.