Question

which angles are consecutive interior angles? ∠mln and ∠kln ∠jil and ∠hig ∠mln and ∠hil ∠kli and ∠hil

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each option

• For $\angle MLN$ and $\angle KLN$, they are adjacent angles, not consecutive - interior angles.
• For $\angle JIL$ and $\angle HIG$, they are vertical angles, not consecutive - interior angles.
• For $\angle MLN$ and $\angle HIL$, they are not in the correct position relative to the lines and transversal for consecutive - interior angles.
• For $\angle KLI$ and $\angle HIL$, they lie between lines $KM$ and $HJ$ and on the same side of transversal $NG$. So they are consecutive - interior angles.

Answer:

$\angle KLI$ and $\angle HIL$