Some quite good advice from an expert;

An angry person is looking for a fight. Through their escalation and unfair accusations, they are asking you to engage. As Eric Hoffer said, “rudeness is the weak man’s imitation of strength.”
So, what is needed in the presence of a hot-headed person? A cool-headed person. The constructive response is not to indulge them in any action. When they shout, you keep silent or speak softly. When they come close, you increase the distance. When they say a lot, you say nothing or very little. Some people decide to respond, thinking that ignoring a provocation makes them lose and a bully to win. This is contrary to what actually happens. You win by disengaging. You become untouchable and gain control by increasing emotional and physical space.
Imagine this situation: You are on a road and the driver in front of you drives dangerously and erratically, swaying wildly sideways, speeding up and pressing the brakes, honking randomly. Should you catch up, open up your window and attempt a discussion on proper driving? Of course not. You shift lanes and drive away, quietly demonstrating your intelligence and preference for safety. De-escalate the angry person in a similar manner, by exiting the scene emotionally or physically, not participating in their drama.
Remember also that basic defenses of angry, self-justifying people are projection and denial. You tell them that they are scaring you with their shouting, they say you are the one yelling. You tell them their words are hurtful, they tell you that you told them things ten times worse, plus you are the one who made them angry to begin with. So, what are the ways to negotiate with reality distorters? The short answer is “there are none,” and the longer answer is, “There are none, don’t even try.”