Question

find ( mangle bfc ).
( mangle bfc=) 118

Explanation:

Step1: Vertical Angles

Vertical angles are equal. \( \angle BFC \) and \( \angle EFG \) are vertical angles.

Step2: Complementary Angles

\( \angle EFG=\angle EFD + \angle DFG \). Since \( \angle DFG = 90^{\circ}\) (right - angle) and \( \angle EFD=28^{\circ}\), then \( \angle EFG=90^{\circ}+28^{\circ}=118^{\circ}\).

Answer:

\( m\angle BFC = 118^{\circ}\)