Question

look at this diagram. if (overleftrightarrow{ce}) and (overleftrightarrow{fh}) are parallel lines and (mangle hgd = 124^{circ}), what is (mangle hgi?)

Explanation:

Step1: Identify angle - relationship

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

Step2: Use supplementary - angle formula

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

Step3: Substitute the given value

Given $m\angle HGD = 124^{\circ}$, then $m\angle HGI=180 - 124$.
$m\angle HGI = 56^{\circ}$

Answer:

$56$