Question

which angles are vertical angles? ∠hig and ∠hil, ∠mln and ∠jil, ∠hig and ∠jil, ∠jil and ∠jig

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• $\angle HIG$ and $\angle HIL$ share a common side, so they are not vertical angles.
• $\angle MLN$ and $\angle JIL$ are formed by the intersection of two lines and are opposite each other.
• $\angle HIG$ and $\angle JIL$ are not vertical angles as they are not formed by the same pair of intersecting lines in the correct way.
• $\angle JIL$ and $\angle JIG$ share a common side, so they are not vertical angles.

Answer:

$\angle MLN$ and $\angle JIL$