1. Check the pictures.
2. A regular hexagon is a very beautiful geometric shape. It is made up of 6 equilateral triangles. So many properties can be noticed from this fact.
For example: m(AOB)=m(BOC)=...=m(DOA)=60° (picture 1)
3. So once you rotate the hexagon counterclockwise 60°, "click", A goes to B, another 60, A goes to C, and so on, after 6-60°, A is back to A. (picture 2)
4. The hexagon will map to itself after 60° (A goes to B), 120° (A goes to C), 180°, 240°, 300° and 360°. So at 6 angles.
