SOLUTION: how can i solve this question because all i get is decimals when i try: a regular polygon has an exterior angle with a measure of 20 degrees. find the numbers of sides

Question 502196: how can i solve this question because all i get is decimals when i try:
a regular polygon has an exterior angle with a measure of 20 degrees. find the numbers of sides
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
In a regular polygon of n sides, the measure of an internal angle is given by:

An internal angle and the corresponding external angle are complementary so that if the external angle is 20 degrees then the corresponding internal angle is 180-20 = 160 degrees.
Solve for n.

Subtract 160n from both sides.
Add 360 to both sides.
Divide by 20.

The regular polygon has 18 sides.
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