Question

find ( mangle bfc ).
( mangle bfc=)

Explanation:

Step1: Vertical Angles

Vertical angles are equal. Since \(\angle BFA\) and \(\angle EFD\) are vertical angles, \(\angle BFA=\angle EFD = 28^{\circ}\).

Step2: Right Angle

\(\angle AFC = 90^{\circ}\) (right - angle). And \(\angle AFC=\angle AFB+\angle BFC\).

Step3: Solve for \(\angle BFC\)

We know that \(\angle BFC=\angle AFC-\angle AFB\). Substitute \(\angle AFC = 90^{\circ}\) and \(\angle AFB = 28^{\circ}\) into the formula. So \(\angle BFC=90^{\circ}- 28^{\circ}\).

Answer:

\(62\)