Interior Angle Of A Polygon Formula

The sum of the measures of the interior angles of a polygon with n sides is n 2 180.

Interior angle of a polygon formula. Polygon formula to find area. Sum of interior angles of polygon n 2 x 180 5 2 x 180. 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.

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. Sum of interior angles p 2 180 60 40 x 83 3 2 180 183 x 180. If n is the number of sides of a polygon then the formula is given below.

So we can say that in a plane a closed figure with many angles is called a polygon. Let us discuss the three different formulas in detail. You also are able to recall a method for finding an unknown interior angle of a polygon by subtracting the known interior angles from the calculated sum.

Interior angles of a polygon formula. Let s know how to find using these polygon formulae. Adjacent angle on straight line there are n sides in the polygon and therefore n straight angles.

There are many properties in a polygon like sides diagonals area angles etc. 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 you would use the formula n 2 x 180 where n is the number of sides in the polygon.

Sum of interior angles of a three sided polygon can be calculated using the formula as. Interior and exterior angle formulas. 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.