Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle fgd = 120^{circ}$, what is $mangle edg$?

Explanation:

Step1: Identify angle - type relationship

$\angle FGD$ and $\angle EDG$ are alternate - interior angles.

Step2: Apply the property of parallel lines

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. So $m\angle EDG=m\angle FGD$.

Answer:

$120$