The rotation center of triangle ACE and triangle BCD is point C, and the rotation angle is 60 degrees.

∫△ABC and△△△ CDE are equilateral triangles;

∴∠acb=∠dce=600；

∴∠ace=∠bcd = 180-60 = 1200；

∫△ABC and△△△ CDE are equilateral triangles;

∴bc=ac； DC = EC;

∴△BCD is the same as△△△ ACE.

* * * The same point is C, ∠ ACB = 600; So the center of rotation is point C, and the rotation angle is 60 degrees.