Question

look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarrow{eg}$ are parallel lines and $mangle bca = 131^{circ}$, what is $mangle gfh?$

Explanation:

Step1: Identify vertical - angle relationship

$\angle BCA$ and $\angle DCF$ are vertical angles. Since vertical angles are equal, $m\angle DCF=m\angle BCA = 131^{\circ}$.

Step2: Identify corresponding - angle relationship

$\angle DCF$ and $\angle GFH$ are corresponding angles. When two parallel lines ($BD$ and $EG$) are cut by a transversal, corresponding angles are equal. So $m\angle GFH=m\angle DCF$.

Answer:

$131$