Question

look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarrow{eg}$ are parallel lines and $mangle gfh = 55^{circ}$, what is $mangle bcf$?

Explanation:

Step1: Identify angle - relationship

$\angle GFH$ and $\angle BCF$ are corresponding angles.

Step2: Apply property of parallel lines

For parallel lines $BD$ and $EG$, corresponding angles are equal. So $m\angle BCF=m\angle GFH$.

Answer:

$55$