This seems like more of an ethics question than a history question. If your teacher is testing you on history, then you need to start by finding out every way Nixon tried to dodge consequences for the Watergate break in. He claimed innocence though he knew he had recorded everything that could serve as evidence in his office, for example. Then there's that infamous "I am not a crook" speech you could write about that was televised. If this is intended to be about HISTORY then your teacher should want to know more about what Nixon DID WRONG then how he should have handled his image as a result of finding out that he would be caught. That is more relevant to testing your understanding of history then the answer to what he should have done. Though, honestly, it is pretty clear that he did not know that he would be caught even though it was painfully obvious.
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