Sum of Exterior Angles of a Regular Polygon
Regular polygons are polygons with equal sides and equal angles. One interesting property of regular polygons is that the sum of all exterior angles is always 360 degrees. Let's break down this concept in detail:

Definition of Exterior Angle
- An exterior angle of a polygon is the angle formed between one side of the polygon and the extension of an adjacent side.

Sum of Exterior Angles
- The sum of all exterior angles of any polygon, including regular polygons, is always 360 degrees.
- This means that if you were to extend all the sides of a polygon and measure the angles formed at each vertex, the total sum of these exterior angles would always be 360 degrees.

Explanation
- This property can be explained using the fact that the exterior angle and the interior angle at a vertex of a polygon are supplementary. In other words, the exterior angle and the interior angle add up to 180 degrees.
- Since a regular polygon has equal interior angles, the exterior angles will also be equal. Therefore, if we know the measure of one exterior angle, we can easily determine the sum of all exterior angles by multiplying the measure of one exterior angle by the number of sides in the polygon.

Conclusion
- In conclusion, the sum of all exterior angles of a regular polygon is always 360 degrees due to the equal measure of exterior angles in a regular polygon and the supplementary relationship between interior and exterior angles. This property is a fundamental concept in geometry and can be applied to various problem-solving situations involving regular polygons.