Only one of them has the parachute; they have to fight to the death to get it.
Dude's a genius. He gets to piss off his ex AND get some free porn out of it because she's dumb.
Dude gets a chance to admit he's a liar but decides to get busted instead.
This is a kid that clearly wants to get in a fist fight with a teacher. Kid, that teacher would obliterate you.
Let's be honest -- it's not like this dude was trying to get a job anytime soon anyway.