Answer
$\angle$BQF or $\angle$FQB or $\angle$1
Work Step by Step
Lines AF and BC share the Point Q. This creates the rays QA, QF, QB, and QC. A point shared by two or more rays is known as a vertex. When naming a vertex the shared point should always be in the middle of the angle name. The angle could also be given a label. In this case we should not call it $\angle$Q since point Q is shared by four separate angles. We will call the angle formed by B, Q, and F $\angle$1.