Question

Karrie drew a design for a window transom with arc measures as shown.What is m2 BFC?60°с120°90°90°30°60°45°FE

Answer 1

As we can see, the angle mBFC is an Inscribed Angle. It is known that the inscribed angle is half the intercepted arc. In this case:

$\angle BFC=\frac{1}{2}arcBC$

The arcBC measure is given: 60°, so:

$\angle BFC=\frac{1}{2}60\degree=30\degree$