A portmanteau of "meh" and "angry"; a mixed feeling of being simultaneously infuriated yet thoroughly blasé. This usually results from being in a situation that demands high quality results tempered by a complete lack of faith in the entity producing the results, e.g. government generally, private or public insurance or benefits, employer or employee, family, society, et. al.
"I was three days late on rent 'cause SOMEONE forgot to authorize the direct deposits on time. I'm too mehngry to fight them or the landlord over the lateness fee, so I guess I'll just lay in bed and watch YouTube videos until I pass out from all the Unisom it takes to get my hobbled brain to forget about it."