We all get angry, it's just that sometimes the word angry doesn't really express just how angry you are.
In English when you get really, really angry the expression is "to get pissed off". In Spanish you would use the verb encabronarse.
I got pissed off
Me voy a encabronar
I'm going to get pissed off
Se encabrono el vato
The guy got pissed off
There's also encabronar, which means "to piss off"
Estoy encabronado contigo
I'm pissed off at you
That's it! Pan comido. Now you know just a little bit more Spanish (or English) and can express how you really feel.
¡Hasta la próxima!