i dont really see what the big deal is here. when my parents would piss me off like that id just be really calm about it, like theye be yelling at me and id just go "ok ok, calm down, i can hear you, i understand." and that would usually really piss them off cause i wasnt challenging them, but at the same time was letting them know that them talking to me was pretty meaningless by then, and all themwhile i was doing nothing wrong or that they could punish me for, so it realy pisses them off, if they think you are really pissed about ther punishment or whatev er is going on here or their talk or stance on the argument or whatever, theyll think they got through to you or at least its working, after all youre pissed. if youre calm it will let them know that they really have no idea how to get to you. I used to be like you, where id get mad.
if my dad told me i made the simplest things difficult and yelled it at me id go calm down dad, youre right, take it easy, how i make the simplest things difficult