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If an interior angle of a regular polygon measures 108°, how many sides does the polygon have?

User SamirChen
by
8.0k points

2 Answers

5 votes

Answer:

5 sides

Explanation:

Use the formula for the measure of an interior angle of a polygon


((n - 2)180)/(n)

Solve for n (the number of sides):

108 =
((n - 2)180)/(n)

108n = (n - 2)180

108n = 180n - 360

-72n = -360

n = 5

So, the polygon has 5 sides.

User Cryptite
by
8.0k points
0 votes

Answer:

5

Explanation:

(n-2)180 = 108

n

Distribute

180n-360=108n

-360=-72n

5=n

n=5

User Arlina
by
7.9k points

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