The sum is 540 degrees, each angle being 108 degrees.
In general, in an n-sided polygon, the sum of the angles is 180 (n-2).
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A Regular Polygon
If you multiply 360 by the number of angles in the polygon and then subtract the sum of all the interior angles you will end up with the sum of all the exterior angles of the polygon.
The sum of the interior angles of a four-sided polygon is 360 degrees.
(number of sides-2)*180 = sum of interior angles of a polygon
The sum of the interior angles of an n-sided polygon is 180n - 360 degrees.