Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle edb = 132^{circ}$, what is $mangle cdg$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle EDB$ and $\angle CDG$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle CDG=m\angle EDB$.

Answer:

$132$