Question

look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarrow{gi}$ are parallel lines and $mangle feh = 63.4^{circ}$, what is $mangle ghe$?

Explanation:

Step1: Identify angle - relationship

$\angle FEH$ and $\angle GHE$ 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. So $m\angle GHE=m\angle FEH$.

Answer:

$63.4$