Question

look at this diagram: if $overleftrightarrow{df}$ and $overleftrightarrow{gi}$ are parallel lines and $mangle ghj = 43.7^{circ}$, what is $mangle ihe$?

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle GHJ$ and $\angle IHE$ are vertical angles.

Step2: Apply vertical - angle property

Since vertical angles have the same measure, if $m\angle GHJ = 43.7^{\circ}$, then $m\angle IHE=m\angle GHJ$.

Answer:

$43.7$