Question

select all the pairs of corresponding angles.
you answered:

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are formed when a transversal intersects two lines. They are in the same relative position.

Step2: Analyze each pair

• For $\angle JIG$ and $\angle JIL$, they are not corresponding angles as they are adjacent angles formed by the same two - ray setup.
• For $\angle MLI$ and $\angle JIG$, when considering the transversal and the two lines, they are in the same relative position and are corresponding angles.
• For $\angle HIG$ and $\angle KLI$, when considering the transversal and the two lines, they are in the same relative position and are corresponding angles.
• For $\angle HIL$ and $\angle KLN$, when considering the transversal and the two lines, they are in the same relative position and are corresponding angles.

Answer:

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