Question

look at this diagram. if (overline{eg}) and (overline{hj}) are parallel lines and (mangle jik = 112^{circ}), what is (mangle efi?)

Explanation:

Step1: Identify angle - relationship

$\angle JIK$ and $\angle EFD$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle EFD$

Since $\angle JIK = 112^{\circ}$ and $\angle EFD=\angle JIK$ (corresponding - angles postulate), then $m\angle EFD = 112^{\circ}$.

Answer:

$112$