A regular hexagon has 6 vertices, and it exhibits rotational symmetry. The largest degree of rotation that will turn a regular hexagon onto itself, excluding 360 degrees, is 300 degrees.
Here are the possible rotations for a regular hexagon:
- 0 degrees (no rotation)
- 60 degrees
- 120 degrees
- 180 degrees
- 240 degrees
- 300 degrees
- 360 degrees (full rotation)
Among these, the largest one, excluding 360 degrees, is 300 degrees.
Thus, a rotation of 300 degrees would turn a regular hexagon onto itself.