Question

look at this diagram: if (overrightarrow{gi}) and (overrightarrow{jl}) are parallel lines and (mangle{jkh}=111^{circ}), what is (mangle{lkm}?)

Explanation:

Step1: Identify angle - relationship

$\angle{JKH}$ and $\angle{LKM}$ are vertical angles.

Step2: Apply vertical - angle property

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

Answer:

$111^{\circ}$