It means to treat a person kindly or gently, especially in a situation where you might be expected to be angry with him.

VOA: special.2010.08.29

Yet,even though you may be angry, I would know that at heart, you are a kind person.

VOA: special.2010.07.11

The president referred directly to last week's political setback, acknowledging that voters have a right to be angry.

VOA: standard.2010.01.28

He says the public has a right to be angry about the latest tale of abuse: the decision by insurance giant AIG to hand out big bonuses to executives, even though taxpayer dollars are keeping the company afloat.

VOA: standard.2009.03.19

I can do so many things with it. It can be really pretty or it can be really angry."

VOA: special.2010.06.21

A few years later, that angry little manat the school house door thought it'd be a good ideaand ran for president.

VOA: standard.other

Jarrett indicates that will be a focus of the State of the Union Address, "he will be able to set forward his priorities and they will be focusing on the middle class our middle class is struggling out there, they are frustrated, they are angry."

VOA: standard.2010.01.24