Question 591979
Suppose x is the measure of each interior angle. Then each exterior angle measures 180-x. The exterior angles of any polygon add up to 360, so we divide this by 180-x to find the number of sides, i.e. we are dividing up 360 degrees into n "angles" each measuring 180-x:


*[tex \LARGE n = \frac{360}{180-x}].