What is the sum of the exterior angles of any polygon?

The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides the polygon has. This property holds true for any polygon, whether it is a triangle, quadrilateral, pentagon, or any other shape.

The reason behind this can be understood by considering how exterior angles are formed. An exterior angle is created when a side of a polygon is extended; the angle between this extended line and the adjacent side of the polygon forms the exterior angle. If you walk around the polygon, turning at each vertex to face the next side, you will make a full revolution. Since a full revolution is equivalent to 360 degrees, the total measure of all the exterior angles combined must also equal 360 degrees.

This is true irrespective of the number of sides (n) in the polygon, which is why the sum of the exterior angles remains consistent at 360 degrees.