If n greater than or equal to 3, for how many values of n is the measure of an interior angle of a regular n-gon less than the measure of an exterior angle?

Ive only found one solution but that is 3, I feel I am missing something and there must be more possiblilties pls help

Guest Aug 7, 2020

#1**+1 **

Interior and exterior angles sum to 180

each interior angle is 180 - 360/n

each exterior angle is 180 - 180 + 360/n = 360/n

SO the question asks 180 - 360/n < 360/n

180 < 720 / n

n < 720/180

n < 4

ElectricPavlov Aug 7, 2020