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An interior angle of a 15-gon can have any measure between 0 and 360 degrees (excluding the two end values). The magnitude of an angle can only be determined theoretically (as opposed to measuring it) if it is a REGULAR polygon.

The sum of the interior angles of a polygon (regular or not) with n sides can be shown to be (n-2)*180 degrees. For a 15-gon this would mean (15-2)*180 = 13*180 = 2340 degrees.

If the polygon is regular, then each of the 15 angles is equal to 2340/15 = 156 degrees.

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14y ago

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