Question

look at this diagram! if (overline{hi}) and (overline{jk}) are parallel lines and (mangle fgj = 122^{circ}), what is (mangle jil?)

Explanation:

Step1: Identify angle - relationship

$\angle FGJ$ and $\angle JLK$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle JLK$

Since $\angle FGJ = 122^{\circ}$ and $\angle FGJ\cong\angle JLK$, then $m\angle JLK=122^{\circ}$.

Answer:

$122$