If each interior angle of a regular polygon measures 108°, that polygon has _________ sides.

Correct option is B

Given:

each interior angle=  108°

Concept Used:

​$$\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}$$ 

​where n is the number of sides.

Solution:

Given that the interior angle is 108°,  substitute it in formula:

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

$$108n = (n-2) \times 180$$​​

$$108n = 180n - 360$$ 

$$180n - 108n = 360$$ 

$$72n = 360$$ 

​$$n = \frac{360}{72} = 5$$ 

Thus, the polygon has 5 sides.