Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle edg = 127^{circ}$, what is $mangle cdb$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

Since vertical angles are congruent, if $m\angle EDG = 127^{\circ}$, then $m\angle CDB=m\angle EDG$.

Answer:

$127$