Welcome to HCM.
It is perfectly normal to get angry when some one disagrees with us. It is a normal human nature. What is required is to learn to control our anger. The first step is to realize that our emotional response is not correct, for which we repent later. Our anger and irritation increases when we have a very stress
Try to do some meditation
, learn to smile with every one whether we like that person or not. Smile does not cost us any thing and we do not loose any thing but the gain from it is tremendous. Even our enemies will learn to smile back, and in the process all our accumulated tension will disappear and with it our anger will also vanish.