How can we explain how The Big Bang Theory contradicts the Law of Conservation of Angular Momentum.
Although you've gotten some good answers ...
The law of conservation of angular momentum states that, for an isolated system, the total angular momentum does not change. In order to claim that the Big Bang contradicts the Law of Conservation of Angular Momentum:
1. State what the angular momentum of the Universe was at the instant of the Big Bang, and give your reasons why you believe that is the amount. (As Eta pointed out, you'll also have to state why you believe it's possible to define the angular momentum of the Universe at the instant of the Big Bang).
2. Measure the motion of
everything in the Universe, and calculate the angular momentum of
every body in the Universe relative to some point. Add up all these numbers.
3. Is the result of (1) the same as the result of (2)? If not, the Big Bang may indeed violate the law of conservation of angular momentum!
4. Report back when you're finished. I'll wait.
In other words, the angular momentum of the Solar System and/or the direction of rotation of individual bodies has absolutely nothing to do with the angular momentum of teh Universe except that they are an infinitesimal contribution to the total. And, if you don't know the total, you can't make any statements.