Rotation can be generated in a medium that did not rotate before, but only with equal amounts of rotation in one direction and in the opposite direction, so that the total is zero as before. If you pull a spoon through a fluid in the middle of a cup or pot, then you'll see that part of the fluid starts rotating, but with equal amounts in both directions.
So, if there is a certain amount of rotation in a large cloud of gas, then that rotation must end up in the star and planets that are formed from the gas. If the rotation is distributed fairly evenly, then all of those things will rotate in about the same direction. For example, the planets all rotate in about the same direction around the Earth, and the Sun rotates in about that same direction around its axis, and most moons orbit in about the same direction around their planet.
Images are samples from over here. (full hd resolution wallpapers)
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