What is the measure of the largest exterior angle that any polygon can have?

The largest exterior angle that any polygon can have is 360 degrees. However, in the context of a convex polygon, the largest exterior angle is limited to less than 180 degrees, as exterior angles for convex polygons are formed by extending one side. For a non-convex polygon, an exterior angle can theoretically approach 360 degrees, but it cannot actually equal it, as that would imply a straight line rather than a polygonal vertex.