Question

look at this diagram: if fh and ik are parallel lines and m∠hgj = 128°, what is m∠kjl?

Explanation:

Step1: Identify angle - relationship

$\angle HGJ$ and $\angle KJL$ are vertical angles. Vertical angles are congruent.

Step2: Determine the measure of $\angle KJL$

Since $\angle HGJ = 128^{\circ}$ and $\angle HGJ\cong\angle KJL$, then $m\angle KJL=128^{\circ}$.

Answer:

$128^{\circ}$