Question

look at this diagram. if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle hgi = 44^{circ}$, what is $mangle edg$?

Explanation:

Step1: Identify angle - type relationship

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

Step2: Apply vertical - angle property

Vertical angles are congruent. Given $m\angle HGI = 44^{\circ}$, then $m\angle EDG=m\angle HGI$.

Answer:

$44^{\circ}$