Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle fgi = 58^{circ}$, what is $mangle cdg$?

Explanation:

Step1: Identify angle - type relationship

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

Step2: Recall vertical - angle property

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

Answer:

$58$