Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle{jkm}=66^{circ}$, what is $mangle{ghk}$?

Explanation:

Step1: Identify angle - relationship

$\angle JKM$ and $\angle GHK$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle GHK=m\angle JKM$.

Answer:

$66$