SOLUTION: if the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles, how many sides does it have?

Question 439487: if the sum of the measures of the interior angles of a polygon equals the sum of the measures of its exterior angles, how many sides does it have?
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
In each polygon the sum of exterior angels is 360 degree.
Let n the number of interior angels of the polygon. The sum of interior angels is:
(n-2)180. Since the measure of interior angels is equal to the measure of
exterior angels we write:(n-2)180=360 => n-2=360/180 => n-2=2 => n=4.
Answer:The requested polygon is the square.
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