annoying vs annoyance

annoying and annoyance both are nouns.

Word	Noun	Adjective	Verb	Adverb
annoying	Yes	Yes	No	No
annoyance	Yes	No	No	No

As nouns, annoying and annoyance are synonyms defined as:

Other synonyms of annoying include irritation, vexation.

annoying (noun)	annoyance (noun)
the act of troubling or annoying someone	the act of troubling or annoying someone
	something or someone that causes trouble; a source of unhappiness
	anger produced by some annoying irritation
	an unpleasant person who is annoying or exasperating
	the psychological state of being irritated or annoyed

annoying (adjective)	annoyance (adjective)
causing irritation or annoyance