Question

look at this diagram: if $overrightarrow{eg}$ and $overrightarrow{hj}$ are parallel lines and $mangle hif = 43^{circ}$, what is $mangle gfd$?

Explanation:

Step1: Identify angle - relationship

$\angle HIF$ and $\angle GFD$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overrightarrow{EG}$ and $\overrightarrow{HJ}$ are parallel and $\angle HIF = 43^{\circ}$, then $\angle GFD=\angle HIF$.

Answer:

$43$