Determine The Measure Of An Exterior Angle Of A Regular Convex Polygon Hexagon And Nonagon. The measure of each exterior angle 360n where n number of sides of a polygon. The sum of the exterior angles of a convex polygon is Remember that a straight angle is The interior angle is always supplementary to an exterior angle at that vertex.
They always add to even for a concave polygon. This tutorial the shows how to find out the measure of an exterior angle of a regular polygon. Each exterior angle of a regular polygon measures 20 Determine the sum of its interior angles.
Then divide it by number of the sides of a polygon in order to calculate the measure of the angle Use this theorem to find the measure of exterior angles of a convex polygon.
For a regular polygon with n sides. After knowing the total sum of the interior angles we can divide by the number of angles to determine the degree measure of each individual angle. As each of the exterior angles are equal Exterior angle 360 15 24. All sides and all angles are congruent.