Interior Angle Formula Polygon

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.

Interior angle formula polygon. Once you know how to find the sum of interior angles of a polygon finding one interior angle for any regular polygon is just a matter of dividing. To find the measure of an interior angle of a regular octagon which has 8 sides apply the formula above as follows. Interior angle of a polygon 180 exterior angle of a polygon.

Interior and exterior angle formulas. 5 2 180. Using our new formula any angle n 2 180 n 8 2 180 8 135 finding 1 interior angle of a regular polygon problem 5.

Where s s the sum of the interior angles and n n the number of congruent sides of a regular polygon the formula is. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. For a regular polygon the total described above is spread evenly among all the interior angles since they all have the same values.

If the exterior angle of a polygon is given then the formula to find the interior angle is. Formula to find the sum of interior angles of a n sided polygon is. By using the formula sum of the interior angles of the above polygon is.

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. 3 180. 540 1 by using the angles sum of the interior angles of the above polygon is.

The sum of the interior angles of a polygon is given by the product of two less than the number of sides of the polygon and the sum of the interior angles of a triangle. Interior angles of a regular polygon 180 n 360 n. Interior angle sum of the interior angles of a polygon n.