What does the sum of the exterior angles of a convex polygon equal?

The sum of the exterior angles of a convex polygon always equals 360 degrees, regardless of the number of sides (n) in the polygon. This is a fundamental property in geometry that applies to all convex polygons.

When considering the properties of exterior angles, remember that an exterior angle is formed by one side of the polygon and the extension of an adjacent side. Each exterior angle is supplementary to its corresponding interior angle, and all the exterior angles taken together complete a full rotation around the polygon, which sums up to 360 degrees.

This principle holds true whether the polygon has three sides (triangle), four sides (quadrilateral), or more sides, making the sum of the exterior angles a consistent value of 360 degrees for any convex polygon. Therefore, the correct answer is 360 degrees.