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.
(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.
You can do it by memorizing this statement:" The sum of the exterior angles of every polygon is 360 degrees. "
A quadrilateral
The sum of the exterior angles of a polygon is 360o.
A Regular Polygon
The sum of the exterior angles of any polygon is 360 degrees.
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 exterior angles of any polygon is 360 degrees
The sum of the exterior angles of ANY polygon is 360 degrees.
The formula for the sum of the interior angles of a polygon is: 180 * (n - 2) where n is the number of sides of the polygon. So the sum of the angles of a polygon with 25 sides is 180 * 23 = 4,140.
It depends on what polygon you are referring to
(number of sides-2)*180 = sum of interior angles of a polygon
The sum of what of a 92 sided polygon? The lengths of the sides? The exterior angles? The interior angles?
If the polygon has n sides, the sum of its interior angles is 180*(n-2) degrees.