# Does any smooth oriented closed orbifold have a fundamental class

This thread:triangulation of orbifolds has shown that any smooth closed orbifold has a triangulation. My further question is: if the difference of any two triangulations $P$ and $Q$ is a boundary of a one higher dimensional simplicial complex $C$, so that $P - Q = \partial C$. If yes, we will have a canonical fundamental class for smooth closed orbifold. Thanks!