Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle jif = 49^{circ}$, what is $mangle gfd$?

Explanation:

Step1: Identify angle - type relationship

$\angle JIF$ 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 $\overrightarrow{EG}\parallel\overrightarrow{HJ}$, $m\angle JIF = m\angle GFD$.

Answer:

$49^{\circ}$