What's black's best possible move and why?

[Title "Black to move"]
[StartFlipped "0"]
[fen "r3k3/pp2b3/1qn1Np2/2p1p2Q/4P2p/1NP4P/PP3Pr1/2KR4 b - - 0 1"]
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    Have you noticed that black has only one legal move? If you hadn't noticed that, you should consider the position longer on your own before asking here. If you had noticed that, your question makes no sense. – David Richerby Aug 10 '14 at 9:59

What's black's best possible move and why?

Unfortunately, Black will lose this game. His king is indeed in check, but he can postpone mate only with 1...Rg6. The problem with Black's position is that king has no viable retreat:

  1. He can't go to d-file as he would be in check from rook on d1;
  2. He can't go to f8 because he would be in check from knight on e6;
  3. He can't go to e7 as Black bishop stands there;
  4. He can't go to f7 because White queen controls that square so he would be again in check;

After 1...Rg6 White plays Qxg6 and gives checkmate:

[Title "White mates after Rg6"]
[StartFlipped "0"]
[fen "r3k3/pp2b3/1qn1Np2/2p1p2Q/4P2p/1NP4P/PP3Pr1/2KR4 b - - 0 1"] 

1...Rg6 2.Qg6# 1-0
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