Many adults still act like children. Some routinely; others only on their bad days. When you see someone lashing out impulsively or defensively when they argue with you, it can be helpful to step back and see their inner child to put their behavior into perspective.
This is not the same as agreeing with them: they still may be wrong. But seeing their tantruming inner child can help you understand what needs they feel are not being met and are causing them to lash out. This can be something you address directly. Figuring out a workable way to acknowledge and maybe address that need within the bounds of your own goals can be a practical way to get through the moment, especially when they are in a position of authority over you. This usually slows them down and helps deescalate the situation.
At the very least, it can help empathize with them. Empathizing is not the same as agreeing, nor is it the same as allowing or enabling any inappropriate behavior they may be doing. It is understanding their behavior enough to see the human inside, often a series of needs screaming to be heard, and confronting it directly. Even if your empathy is not safe to show in the moment or if they reject your empathy, empathetically acknowledging the feelings of another is about maintaining your own humanity and not allowing another’s behavior to curb your ability to acknowledge and address the humanity of others around you.
So, how can this help you respond? Others have spoken at length about how to use understanding to negotiate and reduce conflict (see this for example). One can use empathy to diffuse a situation by acknowledging their side, to demonstrate mutual self-respect, or if necessary, to set proper boundaries for one’s own needs.
Pausing to reflect on the needs the other has can help remove you from the intensity of the situation, which would help you form the nuanced response necessary. It can allow you to understand not only their needs, but your needs and develop an effective strategy for how to meet those needs in the moment. Often, when someone seems to come after us, our bodies move immediately into a reactive, defensive response. The perceived threat puts us into “go mode” and taking an extra second to understand empathetically gives us the space to pull back, assess the situation anew, and use both our emotions and reason to develop a better, strategic response.
Instead of launching, you pause and force yourself to think about it from their perspective, sometimes you realize aspects of your behavior that you do need to address. Worst case scenario, after you reflect for a bit, you still conclude that you are wrong, and in that situation, taking a step back allows you to help confirm that, and you are now in a better mental space to respond appropriately.