Question

select all the pairs of vertical angles. ∠jig and ∠hil ∠kli and ∠mln ∠hig and ∠jil ∠kln and ∠mli

Explanation:

Step1: Definition of vertical angles

Vertical angles are pairs of opposite angles formed by two intersecting lines.

Step2: Analyze each pair

• For $\angle JIG$ and $\angle HIL$: They are opposite angles formed by the intersection of lines $HJ$ and $GN$.
• For $\angle KLI$ and $\angle MLN$: They are opposite angles formed by the intersection of lines $KM$ and $GN$.
• For $\angle HIG$ and $\angle JIL$: They are opposite angles formed by the intersection of lines $HJ$ and $GN$.
• For $\angle KLN$ and $\angle MLI$: They are opposite angles formed by the intersection of lines $KM$ and $GN$.

Answer:

• $\angle JIG$ and $\angle HIL$
• $\angle KLI$ and $\angle MLN$
• $\angle HIG$ and $\angle JIL$
• $\angle KLN$ and $\angle MLI$