Question

look at this diagram: if fh and ik are parallel lines and m∠fgj = 53°, what is m∠ijl?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply vertical - angle property

Vertical angles are congruent. So if $m\angle FGJ = 53^{\circ}$, then $m\angle IJL=m\angle FGJ$.

Answer:

$53$