Dealing with an angry co-worker can be very similar to dealing with an angry client, customer, or even a family member. Stay positive, stay calm, let the person know you are willing to work with them, and try to reverse the situation the best you can. It is important to not get angry back, as this may make the situation worse or you may say something you regret. It is also important to understand which type of person you are dealing with in this situation. Is this the type of person that likes to talk their anger through? Or would it be best to leave them alone for a little while so they can calm down?
If your co-worker has said something inappropriate or offensive, it may be best to report the matter to a manager. This is especially a good idea if this happens on multiple occasions, or if the co-worker has threatened violence. If your co-worker has threatened violence against you or another co-worker, then you should report the matter immediately.
Human beings feed off of each other’s energy. Just like with an angry customer call or an argument with a friend, you may be able to calm an angry person with how *you* come off. If they see that you are not reacting to their anger and you are staying positive and calm, their emotions may change to match yours.