Find The Sum Of The Measures Of The Interior Angles Of Each Convex Polygon Decagon. For a convex 11-gon we have. Find the number of sides in the polygon.
8 Sum 8- 2 180 180 6 940 x 1080. Find the sum of the measures of the interior angles of each convex polygon. Will this property hold if the quadrilateral is not convex.
Use the value of x to find the measure of each angle.
The sum of all of the interior angles can be found using the formula S n - 2180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides. Where n is the number of sides of the polygon. So 180-E 180-30 150 is the measure of each interior angle.