Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle cdb = 122^{circ}$, what is $mangle fgd$?

Explanation:

Step1: Identify angle - relationship

$\angle CDB$ and $\angle FGD$ are corresponding angles since $\overleftrightarrow{CE}\parallel\overleftrightarrow{FH}$ and $\overleftrightarrow{IB}$ is a transversal.

Step2: Apply corresponding - angles property

Corresponding angles formed by parallel lines and a transversal are congruent. So $m\angle FGD=m\angle CDB$.

Answer:

$122$