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CaHeK987 [17]
3 years ago
5

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

Mathematics
2 answers:
lbvjy [14]3 years ago
7 0

Answer:

5 sides

Step-by-step explanation:

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

\frac{(n - 2)180}{n}

Solve for n (the number of sides):

108 = \frac{(n - 2)180}{n}

108n = (n - 2)180

108n = 180n - 360

-72n = -360

n = 5

So, the polygon has 5 sides.

PilotLPTM [1.2K]3 years ago
5 0

Answer:

5

Step-by-step explanation:

<u>(n-2)180 = 108</u>

          n

Distribute

180n-360=108n

-360=-72n

5=n

n=5

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