The answer depends on what characteristic of the star are being summed:
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There is not a general formula for the sum of the sides of an arbitrary polygon.
The sum of the exterior angles of any polygon is 360 degrees.
The sum of all side lengths of a polygon is its perimeter.
The sum of the lengths of the sides of a polygon is called the perimeter.
360 ________________________________________________ Sum of Interior Angles of a Polygon = 180 (n-2) Sum of Exterior Angles of a Polygon = 360 The sum of an angle and an exterior angle of a regular polygon is 360