Broken hinge on kitchen cabinet

A tiny black piece of plastic popped out of one of our kitchen cabinets and now the cabinet door wants to close if left open.

a working hinge

broken hinge

I'm assuming that I'll have to replace the hinge since the black plastic piece that is missing doesn't look like a replaceable part.

Googling for "blum 110 hinge" I found a catalog that included a description of "Compact 33 hinges" with 110 degree opening angle. File:Hinge-diagram.jpg