Methods For Finding External Angles In A Ngon?

The formula to determine one exterior angle is 360°/n, where n is the total number of sides. To calculate the measure of individual exterior angles of a regular n-gon, you can use the Exterior Angle Sum Theorem and the Exterior Angle Theorem.

The exterior angle of a triangle is formed by extending one side of the polygon between the extension and adjacent side. There are three exterior angles in a triangle, and the sum of the exterior angles is always equal. To find the measure of a single interior angle of a regular polygon with n sides, you must calculate the sum interior angles or (n – 2) ⋅ 180 (n – 2) ⋅ 180.

There are two important theorems involving exterior angles: the Exterior Angle Sum Theorem and the Exterior Angle Theorem. The Exterior Angle Sum Theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

To find the size of one exterior angle, divide 360° by the number of sides in the polygon. In a regular polygon, the size of each exterior angle is 360 degrees. Each exterior angle is 360/n, and each interior angle is the suppliment of an exterior angle.

In summary, the exterior angle of a regular polygon is determined by dividing 360° by the number of sides or subtracting the value of an interior angle from 180°.