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 formula for finding the sum of all angles of a polygon is: N = number of sides (N-2)180 = The sum of all angles
The sum of the exterior angles of any regular polygon is 360°
The sum of the exterior angles of a polygon is 360o.
(number of sides-2)*180+360 = total sum of interior and exterior angles of any polygon.
A Regular Polygon
The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.
The sum of the exterior angles of any polygon is 360 degrees.
The sum of all the interior angles of a polygon with n sides is (n-2)*180 degrees.
The sum of all angles of any polygon does not depend on what kind of polygon it is. It depends on the number of sides a polygon has.So that the sum of all angles of the given hexagon (a 6-sided polygon) is 720°, found by using the formulaSum of a polygon angle measures = 180°(n - 2), where n is the number of sides.Since this is a convex hexagon, all its interior angles are less than 180°.
17640
A triangle