Question

look at this diagram. if $overleftrightarrow{ce}$ and $overleftrightarrow{fh}$ are parallel lines and $mangle hgd = 126^{circ}$, what is $mangle fgd$?

Explanation:

Step1: Identify angle - relationship

$\angle HGD$ and $\angle FGD$ are supplementary angles.

Step2: Use supplementary - angle formula

Supplementary angles add up to $180^{\circ}$. So $m\angle FGD=180^{\circ}-m\angle HGD$.

Step3: Substitute the given value

Given $m\angle HGD = 126^{\circ}$, then $m\angle FGD=180 - 126$.
$m\angle FGD = 54^{\circ}$

Answer:

$54$