Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle hik = 64^{circ}$, what is $mangle efi$?

Explanation:

Step1: Identify angle - type relationship

$\angle HIK$ and $\angle EFI$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overleftrightarrow{EG}$ and $\overleftrightarrow{HJ}$ are parallel and $\angle HIK = 64^{\circ}$, then $\angle EFI=\angle HIK$.

Answer:

$64$