Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle cdb = 41^{circ}$, what is $mangle edg$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle EDG=m\angle CDB$.

Answer:

$41$