If the polygon (not ploygon!) has n vertices, the sum of the angles is (n-2)*pi radians or (n-2)*180 degrees.
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1260 degrees
The sum of the interior angles of a n-gon is (n-2)*180 degrees. n = 7, so sum of interior angles = (7-2)*180 = 5*180 = 900 degrees.
The sum of all the interior angles of any octagon is 1080 degrees, so that means that each angle is 135 degrees. You can find the measure of all the interior angles of any ploygon by using this equation: (number of sides in the polygon subtracted by 2) all multiplied by 180.
hexagon
The sum of the exterior angles of a polygon, however many sides it has, is 360 degrees. If the 20 sided polygon is regular, its angles are equal, and each is then 360/20 = 18 degrees.