Final answer:
A regular hexagon can be carried onto itself by multiple angles of rotation that evenly divide into 360 degrees.
Step-by-step explanation:
A regular hexagon has six sides and six angles. To carry a regular hexagon onto itself, the angle of rotation should be a factor of 360 degrees (since there are 360 degrees in a full rotation) and should evenly divide into 360 degrees.
Since 360 divided by 6 equals 60, the angles of rotation that carry a regular hexagon onto itself are 60 degrees, 120 degrees, 180 degrees, 240 degrees, 300 degrees, and 360 degrees.
Learn more about Angles of rotation