Question

select all the pairs of corresponding angles.
you answered:

Explanation:

Step1: Recall definition of corresponding angles

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others.

Step2: Analyze each pair

• For $\angle JIG$ and $\angle JIL$, they are not corresponding angles as they are adjacent angles.
• For $\angle MLI$ and $\angle JIG$, they are corresponding angles as they are in the same relative position with respect to the transversal and the two lines.
• For $\angle HIG$ and $\angle KLI$, they are corresponding angles as they are in the same relative position with respect to the transversal and the two lines.
• For $\angle HIL$ and $\angle KLN$, they are corresponding angles as they are in the same relative position with respect to the transversal and the two lines.

Answer:

$\angle MLI$ and $\angle JIG$, $\angle HIG$ and $\angle KLI$, $\angle HIL$ and $\angle KLN$