Question

hj and km are parallel lines. which angles are alternate interior angles? ∠mln and ∠jil ∠mli and ∠hil ∠kli and ∠mln ∠kli and ∠kln

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle MLN$ and $\angle JIL$: $\angle MLN$ is below line $KM$, $\angle JIL$ is above line $HJ$. They are not between the two parallel lines $HJ$ and $KM$.
• For $\angle MLI$ and $\angle HIL$: $\angle MLI$ and $\angle HIL$ lie between the parallel lines $HJ$ and $KM$ and on opposite sides of the transversal $GN$.
• For $\angle KLI$ and $\angle MLN$: $\angle KLI$ is adjacent to $\angle MLN$ along line $KM$, not alternate interior angles.
• For $\angle KLI$ and $\angle KLN$: They are adjacent angles, not alternate interior angles.

Answer:

$\angle MLI$ and $\angle HIL$