Question

look at this diagram: if (overline{fh}) and (overline{ik}) are parallel lines and (mangle hge = 64^{circ}), what is (mangle kjl)?

Explanation:

Step1: Identify angle - relationship

$\angle HGE$ and $\angle JLK$ are corresponding angles.

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are equal. So $m\angle JLK=m\angle HGE$.

Answer:

$64^{\circ}$