Question 1028812
the number of sides = 360 / x.


for example, assume you have an octagon (8 sided figure).


the external angle would be 360 / 8 = 45.


therefore, the number of sides would be 360 / 45.


this works for any polygon.


for example:


a pentagon has an internal angle of 108 degrees.


the external angle is the supplement of that, which is equal to 72 degrees.


360 / 72 = 5, which is the number of sides of the pentagon.