annoyed vs pissed

annoyed and pissed both are adjectives.

Word	Noun	Adjective	Verb	Adverb
annoyed	No	Yes	No	No
pissed	No	Yes	No	No

As adjectives, annoyed and pissed are synonyms defined as:

Other synonyms of annoyed include irritated, miffed, nettled, peeved, pissed off, riled, roiled, steamed, stung.

annoyed (adjective)	pissed (adjective)
aroused to impatience or anger	aroused to impatience or anger
troubled persistently especially with petty annoyances	very drunk