Interior Angle Of Polygon Formula

A polygon is called a regular polygon when all of its sides are of the same length and all of its angles are of the same measure.

Interior angle of polygon formula. The formula for finding the sum of the interior angles of a polygon is the same whether the polygon is regular or irregular. 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. 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.

Interior angles of a polygon formula. Interior angles of a regular polygon 180 n 360 n. The formula for calculating the size of an interior angle is.

Interior angle of a polygon sum of interior angles number of sides. Sum of interior angles of a three sided polygon can be calculated using the formula as. S n 2 180 this is the angle sum of interior angles of a polygon.

The sum of the measures of the interior angles of a polygon with n sides is n 2 180. Let us discuss the three different formulas in detail. S n 2 180 here n represents the number of sides and s represents the sum of all of the interior.

So you would use the formula n 2 x 180 where n is the number of sides in the polygon. If n is the number of sides of a polygon then the formula is given below. Remember that the sum of the interior angles of a polygon is given by the formula sum of interior angles 180 n 2 where n the number of sides in the polygon.

The formula can be obtained in three ways. If n represents the number of sides then sum of interior angles of a polygon n 2 180 0 example. The interior angles of a polygon always lie inside the polygon.