The sum of the interior angles of a 15-gon is (15-2)x180 degree which is 13x180 degrees or 2340 degrees.
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The method of finding the sum of the interior angles of a polygon is by multiplying the (number of sides)-2 by 180, so the sum of the interior angle measures in a 25-sided polygon would be 23*180, or 4140 degrees.
Exterior angle.
There are 5 interior angles and each one measures 108 degrees (180-72). Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰.
Sum of exterior angles = 360 degrees Sum of interior angles = 1980 degrees
The sum of the five interior angles of ANY pentagon is 540 degrees.If the pentagon is regular, then each angle is 108 degrees.