The interior angles of a 48 sided polygon add up to 8280 degrees
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If the polygon has n sides, the sum of the interior angles is (n - 2)*180 degrees. So (n - 2)*180 = 8460 (n - 2) = 8460/180 = 48 So n = 48 + 2 = 50 sides.
It has (8280+360)/180 = 48 sides
If all the interior angles add up to 8280 degrees then the polygon will have 48 sides.
48 sides A formula for finding the number of sides of a regular polygon given an interior angle: 360/(180-angle)=sides
To find the sum of the angles for any polygon just use this formula: (n-2) times 180 where n is the number of sides in the polygon. So for a 48-gon it would be : (48 - 2) times 180 46 times 180 = 8280 degrees