I would suggest keeping dialogue short, particularly in an argument with anger. I've watched some movies where the character went on a two minute monologue that essentially that basically summed up the movie to that point to explain why she was upset.
A glance, a nicely timed close up, or even for something like dispair, go for a wide shot, sitting on a bed, using only abmvient sounds.....with emotions, sometimes less really is more.
Screenplays meant for other people to shoot should typically only contain things that can be filmed. You can't film "angry" but you can film a character doing something that would leave an audience to understand he is angry (flashing a glare, smashing a window with his bloody fist, etc).
Screenplays you write for you to make yourself can be written any way...if you write that he is angry, then you as the director will know that you need to somehow make the character indicate "angry" when you shoot.
There's a reason for the old saying, "actions speak louder than words." In drama, the characters' inner lives are conveyed through their actions. In a script you need to show what the audience will see on screen. What would someone do if they were unsure of themselves? Perhaps make a move to do something and then stop in their tracks, look around, scratch their head. What if broken-hearted? Maybe they'd be banging their head on a wall, curled up in bed at midday with tears flowing and tissues nearby, or gorging on chocolate ice cream. What if angry? Maybe they would stomp up the stairs, storm out of a room, clench their fists, tighten their jaw, destroy someone else's property, scream, throw something. The kind of personality you want them to have will suggest to you the actions they would take -- and visa versa.