What Is The Interior And Exterior Angles Of A Regular Polygon. Relationship of Exterior Interior Angles of a Polygon The interior angle is always supplementary to an exterior angle at that vertex. Since you are extending a side of the polygon that exterior angle must necessarily be supplementary to the polygons interior angle.
So for a polygon with N sides there are N vertices and N interior angles. The Interior Angle and Exterior Angle are measured from the same line so they add up to 180. Subtract 610 from both sides.
So the measure of interior angle represented by x is 110.
This means that if we have a regular polygon then the measure of each exterior angle is 360n. This means that if we have a regular polygon then the measure of each exterior angle is 360n. Exterior angles are created by extending one side of the regular polygon past the shape and then measuring in degrees from that extended line back to the next side of the polygon. Since you are extending a side of the polygon that exterior angle must necessarily be supplementary to the polygons interior angle.
