From Matthew Henry Commentary:
Could a man speak all the languages on earth, and that with the
greatest propriety, elegance, and fluency, [b]could he talk like an
angel[b], and yet be without charity, it would be all empty noise,
mere unharmonious and useless sound, that would neither profit nor
delight. It is not talking freely, nor finely, nor learnedly, of
the things of God, that will save ourselves, or profit others, if
we are destitute of holy love. It is the charitable heart, not the
voluble tongue, that is acceptable with God. The apostle specifies
first this gift because hereupon the Corinthians seemed chiefly to
value themselves and despise their brethren. Prophecy, and the
understanding of mysteries, and all knowledge. This without charity
is as nothing.
So, when Paul wrote "...and of angels", he is writing in the
hypothetical sense. You can interpret its as "Even if i can speak
the language of angels, it will profit nothing".