"Real anger" refers to a genuine or authentic feeling of intense displeasure or annoyance towards someone or something. It implies that the anger being expressed is not fake or superficial, but comes from a sincere and true place.
Sentences with «real anger»
One in which real anger at this government's arrogance seemed, for the first time, to be articulated on our behalf. (labour-uncut.co.uk)
It would be kind of comical if said in real anger, at least anytime since the 1950s. (redeeminggod.com)
The very real anger at the banking scandals seemed to come to nothing. (nextleft.org)