Calculate the measure of each exterior angle of a 90 sided regular polygon. Explain.

90 sides give us 90 angles

sum of all inside angels is (n-2) * 180 deg. where n is number of angels

so one inside angle is

(90-2) * 180 deg / 90 = 88 * 2 deg = 176 deg.

measure of exterior angle is 360 - 176 = 184 deg.