Question

which angles are corresponding angles? ∠mli and ∠kln ∠hil and ∠hig ∠kln and ∠hig ∠hig and ∠kli

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When a transversal intersects two parallel lines, corresponding angles are congruent.

Step2: Analyze each option

• $\angle MLI$ and $\angle KLN$ are vertical angles.
• $\angle HIL$ and $\angle HIG$ are adjacent angles.
• $\angle KLN$ and $\angle HIG$: $\angle KLN$ and $\angle HIG$ are corresponding angles as they are in the same relative position with respect to the transversal $GN$ and the parallel lines $HJ$ and $KM$.
• $\angle HIG$ and $\angle KLI$ have no special angle - relationship among the common ones.

Answer:

$\angle KLN$ and $\angle HIG$