Formula For Interior Angles Of A Polygon

Interior angles of a polygon formula.

Formula for interior angles of a polygon. The formula can be obtained in three ways. Interior and exterior angle formulas. S n 2 180 this is the angle sum of interior angles of a polygon.

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. Let us discuss the three different formulas in detail. The interior angles of a polygon always lie inside the polygon.

Interior angle of a polygon sum of interior angles number of sides. The sum of interior angles of a 3 sided polygon i e. The formula for calculating the size of an interior angle is.

Now you are able to identify interior angles of polygons and you can recall and apply the formula s n 2 180 to find the sum of the interior angles of a polygon. 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. Interior angles of a regular polygon 180 n 360 n.

If n represents the number of sides then sum of interior angles of a polygon n 2 180 0 example. If n is the number of sides of a polygon then the formula is given below. Each triangle has 180.

S 180 n 2 this formula derives from the fact that if you draw diagonals from one vertex in the polygon the number of triangles formed will be 2 less than the number of sides. 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. Triangle is n 2 180 0 3 2 180 0 180 0.