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find $mangle bfc$. $mangle bfc = square$

Question

find $mangle bfc$.
$mangle bfc = square$

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. $\angle BFC$ and the angle composed of $90^{\circ}$ and $28^{\circ}$ are related.

Step2: Calculate the measure of $\angle BFC$

Since $\angle AFG = 90^{\circ}$ (right - angle) and using the property of vertical angles and angle addition. $m\angle BFC=90^{\circ}+ 28^{\circ}$

Answer:

$118$