1. The problem asks for the sum of the exterior angles of an octagon. 2. The key formula to remember is: The sum of the exterior angles of any polygon is always $$360^\circ$$, regardless of the number of sides. 3. This is because exterior angles are formed by extending one side of the polygon, and as you go around the polygon, the total turn you make is a full circle, which is $$360^\circ$$. 4. Even though the octagon has 8 sides, and only 6 exterior angles are marked, the sum of all exterior angles (one at each vertex) is still $$360^\circ$$. 5. Therefore, the sum of the exterior angles of the octagon is $$\boxed{360^\circ}$$.