Interior Angle Of Regular Polygon 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 angle of regular polygon formula. Interior angles of a regular polygon 180 n 360 n. The other formulas are interior angle of regular polygon sum of interior angles and sum of exterior angles. If n is the number of sides of a polygon then the formula is given below.

If a polygon has 5 sides it will have 5 interior angles. Learn polygon formula for a regular area interior angle of a regular polygon and formula to find the number if triangles in a given polygon at byju s. Among them exterior angle of a regular polygon formula is one.

Interior angle of a polygon is that angle formed at the point of contact of any two adjacent sides of a polygon. Interior angles of regular polygons 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. A polygon will have the number of interior angles equal to the number of sides it has.

The formula can be obtained in three ways. In order to find the measure of a single interior angle of a regular polygon a polygon with sides of equal length and angles of equal measure with n sides we calculate the sum interior angles or n 2 180 and then divide that sum by the number of sides or n. Let us discuss the three different formulas in detail.

Now we will learn what is an exterior angle. Sum of interior angles of polygon ia n 2 x 180 the measure of an exterior angle of a regular n sided polygon is given by the formula 360 n exterior angle of a regular polygon ea 360 n. Interior angles of a polygon formula.

The sum of the measures of the interior angles of a polygon with n sides is n 2 180. With respect to polygon we have four important formulas.