Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle hgi = 42^{circ}$, what is $mangle cdb$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply vertical - angle property

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

Answer:

$42$