ar·ro·gant
 /ˈerəgənt/  adj   [more ~; most ~]
  : having or showing the insulting attitude of people who believe that they are better, smarter, or more important than other people : having or showing arrogance
   an arrogant young attorney
   She's first in her class, but she's not arrogant about it.
   an arrogant remark/attitude
  ar·ro·gant·ly  adv  
   She arrogantly dismissed their claims.