Question

find ( mangle bfc ).
( mangle bfc=)
( circ )

Explanation:

Step1: Find vertical angles

Since \(\angle EFD\) and \(\angle AFB\) are vertical angles, \(m\angle AFB = 28^{\circ}\).

Step2: Use right - angle property

\(\angle AFC\) is a right angle (\(m\angle AFC=90^{\circ}\)).
We know that \(m\angle AFC=m\angle AFB + m\angle BFC\).
Substitute \(m\angle AFB = 28^{\circ}\) into the equation: \(90^{\circ}=28^{\circ}+m\angle BFC\).

Step3: Solve for \(m\angle BFC\)

\(m\angle BFC=90^{\circ}-28^{\circ}\).

Answer:

\(62\)