Question

look at this diagram: if (overleftrightarrow{df}) and (overleftrightarrow{gi}) are parallel lines and (mangle jhj = 119^{circ}), what is (mangle ghe?)

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

Vertical angles are congruent. So, if $m\angle JHJ = 119^{\circ}$, then $m\angle GHE=m\angle JHJ$.

Answer:

$119$