Formula For Interior Angles Of A Regular Polygon

The measure of each interior angle of an equiangular n gon is if you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360.

Formula for interior angles of a regular polygon. For any given regular polygon to find the each exterior angle we have a formula. The sum of the interior angles of a regular polygon is 3060 0. Its interior angles add up to 3 180 540 and when it is regular all angles the same then each angle is 540 5 108 exercise.

Find the number of sides in the polygon. Interior angles of a regular polygon 180 n 360 n. S n s n here is an octagon eight sides eight interior angles.

Number of interior angles and number of exterior angles will be equal and this is equal to number of sides of a polygon. To find the sum of its interior angles substitute n 5 into the formula 180 n 2 and get 180 5 2 180 3 540 since the pentagon is a regular pentagon the measure of each interior angle will be the same. By using this formula easily we can find the exterior angle of regular polygon.

A regular polygon is both equilateral and equiangular. S n 2 180 this is the angle sum of interior angles of a polygon. If the exterior angle of a polygon is given then the formula to find the interior angle is.

Formula for exterior angle of regular polygon as follows. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. Exterior angles sum of polygons.

Interior and exterior angle formulas. Let s investigate the regular pentagon seen above. Hence we can say now if a convex polygon has n sides then the sum of its interior angle is given by the following formula.