Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle{jik}=67^{circ}$, what is $mangle{efi}$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of corresponding angles

For parallel lines $EG$ and $HJ$ cut by a transversal $DK$, corresponding angles are equal. So $m\angle EFI=m\angle JIK$.

Answer:

$67$