What is true about the exterior angles of a convex polygon?

The sum of the exterior angles of a convex polygon is always 360 degrees, regardless of the number of sides the polygon has. This characteristic is fundamental in understanding the properties of polygons. When you consider the exterior angle of a polygon, it is formed by extending one side of the polygon and measuring the angle between that side and the adjacent side.

Each time you move around the polygon, you create an exterior angle at each vertex. When you add all of these angles together, they total 360 degrees. This property holds true for any convex polygon, whether it is a triangle, square, pentagon, or more complex shape.

The other options suggest variability based on characteristics that do not apply to convex polygons. For instance, claiming that the sum depends on the number of sides contradicts the established fact that it is always 360 degrees. Additionally, the mention of exterior angles equaling 180 degrees misrepresents the nature of exterior angles as they should always be less than 180 degrees in a convex polygon. Lastly, stating they vary greatly is misleading, as the sum remains constant at 360 degrees, regardless of the individual values of the angles.