Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle cdb = 60^{circ}$, what is $mangle edg$?

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle CDB$ and $\angle EDG$ are vertical angles.

Step2: Apply the vertical - angle property

Since $\angle CDB$ and $\angle EDG$ are vertical angles, $m\angle EDG=m\angle CDB$.

Answer:

$60^{\circ}$