<PRE><B>Question 262831</B>
the sum of the interior angles is 2700 degrees.


the sum of the interior angles of a polygon is given by the equation:


s = (n-2)*180 where:


s = the sum of the interior angles.
n = the number of sides of the polygon.


given that s = 2700, this equation becomes:


2700 = (n-2)*180


simplify to get:


2700 = 180*n - 360


add 360 to both sides of this equation to get:


3060 = 180*n


divide both sides of this equation by 180 to get:


n = 3060/180 = 17


the polygon has 17 sides.


each interior angle of this polygon = 2700/17 = 158.8235294


each exterior angle of this polygon = 180 - 158.8235294 = 21.17647059


17 * 21.17647059 = 360 degrees which is should since the sum of the exterior angles of a polygon is always 360 degrees.





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