Interior Angles Of A Polygon Formula

The interior angles of a polygon are those angles at each vertex that are on the inside of the polygon.

Interior angles of a polygon formula. 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 s know how to find using these polygon formulae.

All the interior angles in a regular polygon are equal. 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. If n is the number of sides of a polygon then the formula is given below.

So you would use the formula n 2 x 180 where n is the number of sides in the polygon. The formula for finding the sum of the interior angles of a polygon is the same whether the polygon is regular or irregular. Ab bc cd de ea total number of sides are 5.

So for a polygon with n sides there are n vertices and n interior angles. Interior angles of a regular polygon 180 n 360 n. There are many properties in a polygon like sides diagonals area angles etc.

For a regular polygon by definition all the interior angles are the same. 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. So we can say that in a plane a closed figure with many angles is called a polygon.

Sum of interior angles of polygon n 2 x 180 5 2 x 180. The interior angles of a polygon always lie inside the polygon. Let us discuss the three different formulas in detail.