Question

look at this diagram: if (overline{eg}) and (overline{hj}) are parallel lines and (mangle efd = 65^{circ}), what is (mangle hif?)

Explanation:

Step1: Identify angle - type relationship

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

Step2: Determine the measure of $\angle HIF$

Since $\angle EFD = 65^{\circ}$ and $\angle HIF\cong\angle EFD$, then $m\angle HIF = 65^{\circ}$.

Answer:

$65^{\circ}$