Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle hgi = 133^{circ}$, what is $mangle fgd$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle HGI$ and $\angle FGD$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle FGD=m\angle HGI$.

Answer:

$133$