Question

look at this diagram: if $overleftrightarrow{fh}$ and $overleftrightarrow{ik}$ are parallel lines and $mangle ijl = 115^{circ}$, what is $mangle kjg$?

Explanation:

Step1: Identify angle - relationship

$\angle IJL$ and $\angle KJG$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle KJG=m\angle IJL$.

Answer:

$115$