Question

look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarrow{gi}$ are parallel lines and $mangle deh = 68^{circ}$, what is $mangle ihe$?

Explanation:

Step1: Identify angle - relationship

$\angle DEH$ and $\angle IHE$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{DF}\parallel\overleftrightarrow{GI}$ and $\angle DEH = 68^{\circ}$, then $\angle IHE=\angle DEH$.

Answer:

$68$