Question

look at this diagram. if $overleftrightarrow{df}$ and $overleftrightarrow{gi}$ are parallel lines and $mangle ihj = 65^{circ}$, what is $mangle ghe$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle IHJ$ and $\angle GHE$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle GHE=m\angle IHJ$.

Answer:

$65$