Exterior Angle (of a Polygon)
Definition

An exterior angle of a polygon is an angle at a vertex of the polygon, outside the polygon, formed by one side and the extension of an adjacent side.

Exterior angles of a polygon example

Notice that corresponding interior and exterior angles are supplementary (add to 180°).

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Exterior Angles of a Regular Polygon

Exterior angles of a regular polygon are equal in measure. The magnitude of an angle can be determined by the number of sides of the polygon.


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The following is the "formula" to determine the measure of an exterior angle of any n-sided regular polygon.

Formula for the measure of the exterior angle of a regular polygon