Question

look at this diagram.
if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle gfi = 128^{circ}$, what is $mangle jik$?

Explanation:

Step1: Identify angle - relationship

$\angle GFI$ and $\angle JIK$ are corresponding angles.

Step2: Apply corresponding - angles property

For parallel lines $\overleftrightarrow{EG}$ and $\overleftrightarrow{HJ}$, corresponding angles are equal. So $m\angle JIK=m\angle GFI$.

Answer:

$128^{\circ}$