Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle cdb = 122^{circ}$, what is $mangle fgd$?

Explanation:

Step1: Identify angle - relationship

$\angle CDB$ and $\angle FGD$ are corresponding angles.

Step2: Apply parallel - line property

For parallel lines $CE$ and $FH$, corresponding angles are equal. So $m\angle FGD=m\angle CDB$.

Answer:

$122$