## exterior angle

### In geometry, an exterior angle is an angle formed when a side of a polygon is extended or produced

In geometry, an exterior angle is an angle formed when a side of a polygon is extended or produced. In other words, it is the angle formed when two adjacent sides of a polygon are extended on the same side of the polygon. The vertex of the exterior angle is the vertex of the polygon from which the two adjacent sides are extended.

The measure of an exterior angle of a polygon can be found by subtracting the measure of its corresponding interior angle from 180 degrees. The corresponding interior angle is the angle located inside the polygon and adjacent to the exterior angle.

For example, let’s consider a triangle. Each exterior angle of a triangle is formed by extending one of the sides of the triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

In general, for a regular polygon with n sides, each exterior angle measures 360 degrees divided by n. This means that the sum of the exterior angles of any polygon is always 360 degrees.

Understanding exterior angles is important in geometry as they are used to solve a variety of problems involving polygons and their properties.

##### More Answers:

The Importance and Characteristics of Remote Interior Angles in GeometryUnderstanding the Exterior Angle Theorem | Relationship Between Exterior and Interior Angles in a Triangle

The Importance of Interior Angles in Geometry | Exploring Definitions, Sum Formulas, and Calculations