If you honestly love that person, then the only thing to do is try to make it up some other way. Never let the anger possess you also because this will lead to even bigger problems, as I have found out. Always try to imagine that your loved one's anger is justified no matter what (because this is surely what your loved one thinks).
The approach you should take is the understanding and loving one. Show your loved one that you do in fact love him or her by doing things that he or she will appreciate. Go out of your way to make it up and never let your anger get a hold of you. If your loved one truly loves you, he or she will forgive you in time.