What Is The Interior Angle Of A Regular Polygon

The interior and exterior angles at each vertex of any polygon add up to 180.

What is the interior angle of a regular polygon. The sum of the exterior angles of a polygon is 360. So 180 3 60 should be the minimum interior angle possible for a regular polygon. So the maximum interior angle possible lies between 179 9 180.

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. As in such case adjacent sides of polygon become collinear it won t remain a polygon. 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.

Find the number of sides in the polygon. The sum of the exterior angles of a polygon is 360. Polygons are 2 dimensional shapes with straight sides.

Polygons are 2 dimensional shapes with straight sides. Sum of interior angles n 2 180 each angle of a regular polygon n 2 180 n. Angle q is an interior angle of quadrilateral quad.

Interior angles of regular polygons. A regular polygon is a 2d shape which has all sides of the same length and all angles that are the same size. An interior angle of a polygon is an angle inside the polygon at one of its vertices.

The interior and exterior angles at each vertex of any polygon add up to 180. An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side. And each interior angle when increased it can not be equal to 180 or beyond 180.