Respuesta :
Answer:
12
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Since there are n sides and each exterior angle = [tex]\frac{5n}{2}[/tex] , then
n × [tex]\frac{5n}{2}[/tex] = 360 ( multiply both sides by 2 to clear the fraction )
5n² = 720 ( divide both sides by 5 )
n² = 144 ( take the square root of both sides )
n = [tex]\sqrt{144}[/tex] = 12
The polygon has 12 sides
