How To Calculate An Irregular Polygon’S Outer Angles?

The size of an exterior angle in a polygon can be determined by adding together the known exterior angles and subtracting them from 360°. Irregular polygons can be either convex or concave, and their exterior angles can be calculated using the formula: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles in a polygon is 360°, and the measure of an exterior angle can be found by dividing the sum of the interior angles by the number of sides.

For example, if a polygon has (n) sides, two of its exterior angles are 72 degrees and 35 degrees, while the remaining exterior angles are each equal to 23 degrees. To find the value of (n), divide the sum of the interior angles by the number of sides.

The sum of all the exterior angles of any polygon is always equal to the complete angle 2π radians = 360°, regardless of the number of its vertices. Each of the exterior angles must be 360/7 = 51.43 degrees. The measure of an exterior angle of an irregular polygon is calculated using the formula: 360°/n, where n is the number of sides of a polygon.