What does king mean when he refers to the African American as an "exile in his own land"? ( Hint para.3) he means that African Americans were separated and they weren't as majority. they weren't seen as citizens. They didn't have the same rights.
This is an instance of dramatic irony, taking into account that this figure of spech is when the implications of a situation, speech, etc, are understood by the audience but not by the characters in the play.