I think this is really close.

You need 28% equity to call. If his range is AA,JJ,55,44,AK then you have 18% equity already. I also dont think he has AA very often and depending how agg he is 44/55 could be unlikely so I think you can bump that up a point or 2 which means he has to be betting something you beat about 9% of the time for a call to be profitable. The slim chance he has AQ plus the chance he thinks you'll fold probably gets you there so I think the call is marginally +EV.

Id probably fold it in the heat of it though.


edit: btw your preflop play sucked