Exterior And Interior Angles Of A Polygon

The formula to find the sum of the interior angles of any polygon is sum of angles n 2 180 where n is the number of sides of the polygon.

Exterior and interior angles of a polygon. Since you are extending a side of the polygon that exterior angle must necessarily be supplementary to the polygon s interior angle. Polygons are 2 dimensional shapes with straight sides. All the interior angles in a regular polygon are equal.

You can also find the exterior angle first then minus from 180 degree 180 to get the interior angle. Together the adjacent interior and exterior angles will add to 180 180. Interior angle of a polygon sum of interior angles number of sides.

Interior angle of a polygon 180 exterior angle of a polygon. Relationship of exterior interior angles of a polygon the interior angle is always supplementary to an exterior angle at that vertex. Angle q is an interior angle of quadrilateral quad.

For a square the exterior angle is 90 90. If we know the sum of all the interior angles of a regular polygon we can obtain the interior angle by dividing the sum by the number of sides. 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.

Interior angle sum of the interior angles of a polygon n. For our equilateral triangle the exterior angle of any vertex is 120 120. The formula for calculating the size of an interior angle is.

The sum of the exterior angles of a polygon is 360. An interior angle of a polygon is an angle inside the polygon at one of its vertices. Try this adjust the polygon below by dragging the orange dot.