Question

What is the smallest degree of rotation that will map a regular 18-gon onto itself?

Answer 1

Because the 18-gon is symmetrical, you can rotate it by 360/18 or 20 degrees. This is because when you rotate it by 20 degrees(to the left for explanation matters), any angle will now be in the position of its angle to its left.

Answer 2

The answer is 20

Explanation:

360 will be divided by 18 which will give you 20. For those of you who had the same question but instead of "18-gon" you had "20-gon" if you divide 360 by 20 your answer will be 18.