Question

look at this diagram: if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle cdb = 119^{circ}$, what is $mangle fgd$?

Explanation:

Step1: Identify angle - relationship

$\angle CDB$ and $\angle FGD$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle FGD$

Since $\angle CDB = 119^{\circ}$ and $\angle CDB\cong\angle FGD$, then $m\angle FGD = 119^{\circ}$.

Answer:

$119$