He can't play the Queen's Gambit against the King's Indian.
He can only play the Queen's Gambit if he plays 1 d4 and you play d5. Then he can offer you a gambit by playing 2 c4. It is the Queen Gambit Accepted if you take the pawn and the Queen's Gambit Declined if you protect your d pawn with your e pawn.
If you are playing the King's Indian, in which you would play Nf6 as a response to his 1 d4, there's no way for him to offer that c4 pawn to you as a gambit.
Why not post one of the actual games you had trouble with?
I've been having alot of trouble against a good player who only uses this opening. Best responses? I usually go with kings indian defense. What's your favorite?