Question

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

Answer 1

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.

Answer 2

Answer:

5

Step-by-step explanation:

(n-2)180 = 108

          n

Distribute

180n-360=108n

-360=-72n

5=n

n=5