'Righteousness of God' in the Bible

For in it there is the revelation of the righteousness of God from faith to faith: as it is said in the holy Writings, The man who does righteousness will be living by his faith.

But if the righteousness of God is supported by our wrongdoing what is to be said? is it wrong for God to be angry (as men may say)?

But now without the law there is a revelation of the righteousness of God, to which witness is given by the law and the prophets;

That is, the righteousness of God through faith in Jesus Christ, to all those who have faith; and one man is not different from another,

Because, not having knowledge of God's righteousness, and desiring to give effect to their righteousness, they have not put themselves under the righteousness of God.