Question 32
Angles and PolygonsFor which of the following exterior angles is a regular polygon possible? i. 35° ii. 18° iii. 15°
- A.i and ii
- B.ii only
- C.ii and iii
- D.iii only
Show the answer and explanation
Answer: C (ii and iii)
Explanation
A regular polygon has 360° ÷ (exterior angle) sides, which must be a whole number. 360 ÷ 18 = 20 and 360 ÷ 15 = 24 work, but 360 ÷ 35 is not whole.