We must not forget that Jesus had things to say to the Sadducees' doctrines as well as the Pharisees. Even Jews today, Rabbinical ones have Angelic beings within their "lore" (for lack of a better term) who are not "mortal men" as you and I.
Mat 16:6 Then Jesus said unto them, Take heed and beware of the leaven of the Pharisees and of the Sadducees.
Act 23:8 For the Sadducees say that there is no resurrection, neither angel, nor spirit: but the Pharisees confess both.
Messengers who are men, very possible - but there are surely spiritual beings who are spirits indeed, not clothed in clay like we are, not the children of Adam, who are given the office of Messenger also.
Mat 26:53 Thinkest thou that I cannot now pray to my Father, and he shall presently give me more than twelve legions of angels?
These angels, messengers, would have been warriors, powerful ones - and 12 legions, a Roman legion was approximately 6 000 (full legion) men.
72,000 angels/messengers - warriors to defend the King...Christ didn't have that many followers in Judea, or Israel at the time - armed for battle at least, and that is made especially apparent due to his reaction to Peter who is a mortal man seeking to defend him.
Christ's kingdom is not of this world, as he said to Pilate - if it were, his followers would have stopped his arrest.
It is based on this that I believe Angels are not merely...Messenger men, or mortal prophets. But spiritual beings who are Heavenly in origin, not children of Adam.