How To Find The Interior Angles Of A Polygon Formula

A regular polygon is a polygon whose sides are of equal length.

How to find the interior angles of a polygon formula. That will give you the missing angle. If you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360. First calculate the sum of all the interior angles of the polygon by using the formula n 2 180 where n is the number of sides.

Interior angle sum of the interior angles of a polygon n. One interior angle n 2 180 n o n e i n t e r i o r a n g l e n 2 180 n. Interior and exterior angle formulas.

If the exterior angle of a polygon is given then the formula to find the interior angle is. Since a quadrilateral is made up of two triangles the sum of its angles would be 180 2 360. Hence we can say if a polygon is convex then the sum of the degree measures of the exterior angles one at each vertex is 360.

The angle next to an interior angle formed by extending the side of the polygon is the exterior angle. The sum of interior angles in a pentagon is 540. Interior angles of a regular polygon 180 n 360 n.

So in general this means that each time we add a side we add another 180 to the total as math is fun nicely states. Then add together all of the known angles and subtract that sum from the sum you calculated first. If a polygon has p sides then sum of interior angles p 2 180 sum of interior angles of a regular polygon and irregular polygon.

Interior angle of a polygon 180 exterior angle of a polygon. The sum of its angles will be 180 3 540. To find the measure of a single interior angle then you simply take that total for all the angles and divide it by n n the number of sides or angles in the regular polygon.