+1439 In a certain regular polygon, the measure of each interior angle is $2$ times the measure of each exterior angle. Find the number of sides in this regular polygon.
+37159 Interior angles of an n-gon sum to ( n-2) 180
exterior angles sum to 360
so
(n-2)(180) / n = 2 * 360 / n solve for 'n'
180 - 360/n = 720 / n
180 = 1080 / n
180 n = 1080
n = 6 sides
