Taking color into account, does the shape have rotational symmetry? if so, what is the angle of rotation, rounded to the nearest degree?

There are 6 identical and symmetrical shapes if colors are ignored.
Because color is taken into account, each shape (with a distinct color) can be rotated into itself about the center of the figure through an angle of 360°.

The shape has rotational symmetry.
The angle of rotation, taking color into account, is 360°.