all the other answers are correct, "pissed off" means angry in american english.
a person "can be pissed off" he didnt get a raise, or "piss someone else off" by stealing their parking spot... etc. you get the idea.
in Britain it can also be that "to piss off" means to "f**k off" rather rudely during an argument or "get away". for instance, an irritated young man may say "piss off" to a drug addict on the street pleading for money. or a woman may say it to unwanted attention from men to get them to leave her alone. . jokingly, young people sometimes say it to their friends, in a similar way as "f*** off!".
(but im my opinion its a bit crude of language to use)