Question

look at this diagram:

if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $m\angle cdb= 118^\circ$, what is $m\angle edg?$

Explanation:

Step1: Identify linear pair angles

$\angle CDB$ and $\angle EDG$ are a linear pair, so their measures sum to $180^\circ$.

Step2: Calculate $\angle EDG$

$m\angle EDG = 180^\circ - m\angle CDB$
$m\angle EDG = 180^\circ - 118^\circ$

Answer:

$62^\circ$