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Question
look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarrow{eg}$ are parallel lines and $mangle bcf = 68^{circ}$, what is $mangle efh$?
Step1: Identify angle - relationship
$\angle BCF$ and $\angle EFH$ are vertical angles.
Step2: Apply vertical - angle property
Vertical angles are congruent. So $m\angle EFH=m\angle BCF$.
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$68$