By whose authority does Jesus act?

Mark 11:27 And they come again to Jerusalem: and as he was walking in the temple, there come to him the chief priests, and the scribes, and the elders, 28 And say unto him, By what authority doest thou these things? and who gave thee this authority to do these things? Matt 21:23 And when he was come into the temple, the chief priests and the elders of the people came unto him as he was teaching, and said, By what authority doest thou these things? and who gave thee this authority? Luke 20:1 And it came to pass, that on one of those days, as he taught the people in the temple, and preached the gospel, the chief priests and the scribes came upon him with the elders, 2 And spake unto him, saying, Tell us, by what authority doest thou these things? or who is he that gave thee this authority?
Mark 11:29 And Jesus answered and said unto them, I will also ask of you one question, and answer me, and I will tell you by what authority I do these things. Matt 21:24 And Jesus answered and said unto them, I also will ask you one thing, which if ye tell me, I in like wise will tell you by what authority I do these things. Luke 20:3 And he answered and said unto them, I will also ask you one thing; and answer me:
Mark 11:30 The baptism of John, was it from heaven, or of men? answer me. Matt 21:25a The baptism of John, whence was it? from heaven, or of men? Luke 20:4 The baptism of John, was it from heaven, or of men?
Mark 11:31 And they reasoned with themselves, saying, If we shall say, From heaven; he will say, Why then did ye not believe him? 32 But if we shall say, Of men; they feared the people: for all men counted John, that he was a prophet indeed. Matt 21:25b And they reasoned with themselves, saying, If we shall say, From heaven; he will say unto us, Why did ye not then believe him? 26 But if we shall say, Of men; we fear the people; for all hold John as a prophet. Luke 20:5 And they reasoned with themselves, saying, If we shall say, From heaven; he will say, Why then believed ye him not? 6 But and if we say, Of men; all the people will stone us: for they be persuaded that John was a prophet.
Mark 11:33a And they answered and said unto Jesus, We cannot tell. Matt 21:27a And they answered Jesus, and said, We cannot tell. Luke 20:7 And they answered, that they could not tell whence it was.
Mark 11:33b And Jesus answering saith unto them, Neither do I tell you by what authority I do these things. Matt 21:27b And he said unto them, Neither tell I you by what authority I do these things. Luke 20:8 And Jesus said unto them, Neither tell I you by what authority I do these things.