Respuesta :

Answer:

72 sides.

Step-by-step explanation:

Each exterior angle of the polygon with n sides has the measure = 5°

Formula to get the exterior angle with n sides of the polygon is,

Measure of exterior angle = [tex]\frac{360}{n}[/tex]

By substituting the value of exterior angle in the formula,

5 = [tex]\frac{360}{n}[/tex]

n = [tex]\frac{360}{5}[/tex]

n = 72 sides

Therefore, the given polygon has 72 sides.