## exterior angle

### In mathematics, an exterior angle is an angle formed by one side of a polygon and the extension of its adjacent side

In mathematics, an exterior angle is an angle formed by one side of a polygon and the extension of its adjacent side. More specifically, when we have a polygon with n sides, the exterior angles are the angles formed by one side of the polygon and the extension of the next consecutive side.

For example, let’s consider a triangle. The exterior angle of the triangle is formed by one side of the triangle and the extension of the adjacent side. In this case, if we label the vertices of the triangle as A, B, and C, and we have sides AB, BC, and CA, then the exterior angle at vertex A would be the angle formed by side AB and the extension of side CA.

It’s important to note that the sum of the measures of all the exterior angles of a polygon is always 360 degrees. This property is known as the Exterior Angle Sum Theorem.

The concept of exterior angles is particularly useful when considering properties and theorems relating to polygons, such as the sum of interior angles, regular polygons, and parallel lines intersected by a transversal. By studying the exterior angles, we can gain insights and make deductions about the interior angles and other geometric properties of polygons.

##### More Answers:

Understanding Supplementary Angles | Exploring the Relationship Between Angles and the Sum of 180 DegreesUnderstanding Remote Interior Angles | Exploring Their Significance and Applications in Triangle Geometry

Calculating Interior Angles | Formula and Examples for Polygons