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1260 degrees
Each exterior angle measures 72 degrees
Exterior angle measures 18 degrees Interior angle measures 162 degrees
The sum of a regular polygons exterior angles always = 360
The number of sides in a regular polygon can be determined by dividing 360 degrees (the sum of all exterior angles in any polygon) by the measure of each exterior angle. In this case, if each exterior angle measures 30 degrees, the polygon will have 12 sides.