I know others have already responded, but before I look at their responses I'm going to give my own, so you can compare two independent view.s
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The conservation of angular momentum says that if an object is spinning and a piece seperate from that object and "flies" off then that piece must spin in the same direction.
This is approximately correct... well done.
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If there was a Big Bang of when the matter was spinning impossibly fast then...
Whoa... I've read about the Big Bang theory several times, and not one single description that I've ever heard says that the matter was spinning. Where are you getting this description from? Are you sure that you're not confusing it with the Nebulae Theory on solar system formation?
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blew up the everythin in the universe MUST spin in the exact same direction,
Absolutely not. The Law of Angular Momentum only refers to the total amount of angular momentum... you could have large chunks of matter spinning in the 'wrong' direction if the angular momentum of the other chunks still added up to the correct value.
You can try this out at home as an experiment! Take a spinning ball and light a firecracker inside it, then videotape the results. When it explodes, pieces go flying off in different directions with different velocities, and some pieces are flung out spinning the "wrong" direction.
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but this is not aparent as even in our own solar system there are two planets that spin backwards there are ven entire galaxies that spin backwards, how is this possible according to Cosmology Evolution
It's possible because the universe wasn't spinning at the beginning of the Big Bang.
But if you're referring to the Nebulae Theory for the formation of our solar system, this is also no problem: spinning objects can be reversed in spin if acted upon by other forces.
You remember those kids spinning off the merry-go-round that you mentioned? Those kids don't spin forever... they'll land on the grass or bump into somebody, and that can stop their spin, or even turn them the other way. Heck, if they get thrown wide enough and do a flip while they're spinning, they'll appear to be spinning the "wrong way". This is precisely what's happened with Venus and Pluto. Pluto is flipped, and Venus shows signs of being hit.
But, of course, the overwhelming evidence for the Nebulae Theory is still there: all of the other planets are spinning in the same direction, and every last one of the planets is orbiting in the same direction around the sun.
Now... why should this be?