Someone recently asked Rev. Billy Graham, in his daily column, why humans should not also worship angels. He, as always, gave a fine reply. He explained that God alone is all powerful and has always been, while angels are beings created by God, and therefore cannot be worshipped.
For those of you who like definitive scripture, I point you to St. Paul.
1 Colossians 2:18
Let no one cheat you who takes pleasure in self-abasement and worship of the angels, and enters vainly into what he has not seen, puffed up by his mere human mind.
This is included in Paul's list of erroneous practices.
I hope you have found this helpful. Check the Bible: it's all in there.