How To Find The Interior Angle Of A Polygon With The Exterior Angle

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

How to find the interior angle of a polygon with the exterior angle. 360 n. It shows in detail one vertex of the polygon. 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.

If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle. Interior and exterior angle formulas. For each vertex of a polygon.

N n 2 180 n 2 180 n. 360 the measure of each exterior angle of a regular n gon is. For any given regular polygon to find the each exterior angle we have a formula.

Number of interior angles and number of exterior angles will be equal and this is equal to number of sides of a polygon. The measure of each interior angle of a regular n gon is. You can see that the interior angle and exterior angle are supplementary adding to 180 as you drag the vertex downwards the polygon becomes concave with the vertex pushed inwards towards the center of the polygon as this happens the extended side now moves inside the polygon and the exterior angle becomes negative.

1 n n 2 180 or n 2 180 n. If the exterior angle of a polygon is given then the formula to find the interior angle is interior angle of a polygon 180 exterior angle of a polygon method 3. The sum of interior angles div number of sides.

The interior angle of a polygon an interior angle is the angle inside the polygon at a vertex. The sum of the measures of the exterior angles of a convex polygon one angle at each vertex is. 720 120 heptagon or septagon 7.