How To Determine The Polygon With A Single External Angle?

The exterior angles of a polygon are formed by extending one side of the polygon and its adjacent side at the vertex. To find the measure of a single interior angle of a regular polygon with n sides, we calculate the sum interior angles or $$(red n-2) cdot 180. The sum of the exterior angles of any polygon is 360°.

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 is the angle between any side of a shape and a line extended from the next side. To find the number of sides of a polygon when the exterior angle is given, we use the formula: Measure of an exterior angle of a regular polygon = frac(360^(circ))(n)$ where n is the number of sides.

To find the size of one exterior angle, we divide 360° by the number of sides in the polygon. In a regular polygon, the size of each exterior angle is equal to 360^o/N. To find the value of an exterior angle of a polygon, one needs to divide 360 by the number of sides or subtract the value of an interior angle from 180.