The phrase "arrogant way" means behaving or speaking in a proud and superior manner, showing an excessive belief in one's importance or abilities. Full definition
«You have to be a little more arrogant the way you do things here,» Andretti says. (si.com)
The fact that so many can respond in such a spiteful, arrogant way just because my opinions tend to gore their favorite big gov» t ox just shows that «progressives», for all their self congratulatory rhetoric about their intelligence and rationality, are capable of acting like any other cultists in the face of what they consider heresy. (religion.blogs.cnn.com)
I don't know if the person is insane or what but they say they are preading the love and truth of Jesus and then say everything is a hateful arrogant way. (religion.blogs.cnn.com)