# If a regular polygon has 20 degree rotational symmetry how many sides does it have?

May 4, 2018

Your regular polygon is a regular 18-gon. Here's why:

#### Explanation:

Rotational symmetry's degrees will always add up to 360 degrees. To find the number of sides, divide the whole (360) by the degrees of rotational symmetry of the regular polygon (20):

$\frac{360}{20}$ = $18$

Your regular polygon is a regular 18-gon.