Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle{jkh}=116^{circ}$, what is $mangle{lkm}$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle JKH$ and $\angle MKL$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle LKM=m\angle JKH$.

Answer:

$116$