Question

find ( mangle bfc ).
( mangle bfc=square^{circ} )

Explanation:

Step1: Identify vertical angles

Vertical angles are equal. $\angle BFA$ and $\angle EFD$ are vertical angles. So, $m\angle BFA = m\angle EFD=28^{\circ}$.

Step2: Use the right - angle relationship

Since $\angle AFC = 90^{\circ}$ (given as a right angle), and $\angle AFC=\angle BFA+\angle BFC$.
We can rewrite the equation as $m\angle BFC=m\angle AFC - m\angle BFA$.
Substitute the values: $m\angle BFC = 90^{\circ}-28^{\circ}$.

Step3: Calculate the angle measure

$m\angle BFC=62^{\circ}$.

Answer:

$62$