In a certain regular polygon, the measure of each interior angle is ten times the measure of each exterior angle. Find the number of sides in this regular polygon.
Measure of each interior angle = ( n - 2) *180 / 2
Measure of each exterior angle = 360 / n
So
(n - 2) 180 / n = 10 [ 360 / n ] { divide out n }
(n -2) 180 = 3600
180n - 360 = 3600
180n = 3600 + 360
180n = 3960
n = 22 sides
