SOLUTION: Write a formula to find the number of sides n in a regular polygon given that the measure of one exterior angle is x�.

Question 1028812: Write a formula to find the number of sides n in a regular polygon given that the measure of one exterior angle is x�.
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the number of sides = 360 / x.

for example, assume you have an octagon (8 sided figure).

the external angle would be 360 / 8 = 45.

therefore, the number of sides would be 360 / 45.

this works for any polygon.

for example:

a pentagon has an internal angle of 108 degrees.

the external angle is the supplement of that, which is equal to 72 degrees.

360 / 72 = 5, which is the number of sides of the pentagon.

Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
Write a formula to find the number of sides n in a regular polygon given that the measure of one exterior angle is x�.
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n = = .

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