I get really agitated when having a conversation with my father?

My father always wants to have conversations with me but he always says things to irritate me. Sometimes he lies and we get heated in an argument about silly, small things. He even tries to talk to me when I'm busy working and I end up snapping. Even then, he refuses my apology. His heads constantly in the past and he never apologizes for the wrong things he did to me. Everytime I hear his voice, I get agitated. We haven't been speaking for a while now. How do I remedy this before it gets out of control?