In the given ⊙C, the central angle is shown. Grab Point E and move to Point A. The new ∠DEB in an inscribed angle. The inscribed ∠ is half of the central ∠. You can move Points B and D show more about other inscribed ∠s.

Add a new Point F on the circle. Create segments FB and FD. What conjecture can you make about the measure of ∠DFB?