Examples, solutions, videos, worksheets, and activities to help Geometry students learn about exterior angles of polygons.

The following diagram shows that the sum of the exterior angles of polygons is 360 degrees. Scroll down the page for more examples and solutions for the exterior angles of polygons.

**Exterior Angles of a Polygon**

In a polygon, an exterior angle is formed by a side and an extension of an adjacent side. Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
**Find the Measure of an Exterior Angle of a Regular Polygon**

**Exterior angle of a regular polygon**

Students learn the definition of a regular polygon, as well as the following formulas related to regular polygons. The measure of each exterior angle of a regular polygon is 360/n degrees.
**Given the exterior angle of a regular polygon, determine the number of sides**

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

The following diagram shows that the sum of the exterior angles of polygons is 360 degrees. Scroll down the page for more examples and solutions for the exterior angles of polygons.

In a polygon, an exterior angle is formed by a side and an extension of an adjacent side. Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

Students learn the definition of a regular polygon, as well as the following formulas related to regular polygons. The measure of each exterior angle of a regular polygon is 360/n degrees.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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