Question

look at this diagram: if $overleftrightarrow{eg}$ and $overleftrightarrow{hj}$ are parallel lines and $mangle hik = 66.7^{circ}$, what is $mangle efd$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle EFD=m\angle HIK$.

Answer:

$66.7^{\circ}$