Question

which angles are vertical angles? ∠kjh and ∠ijm ∠kjh and ∠nmj ∠ijm and ∠lmo ∠ijh and ∠ijm

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

• Option 1: $\angle KJH$ and $\angle IJM$ are not vertical angles as they are not formed by the intersection of the same two - line pairs.
• Option 2: $\angle KJH$ and $\angle NMJ$ are not vertical angles as they are not opposite each other at an intersection.
• Option 3: $\angle IJM$ and $\angle LMO$ are vertical angles. They are formed by the intersection of lines $LN$ and $IH$ and are opposite each other.
• Option 4: $\angle IJH$ and $\angle IJM$ are adjacent angles, not vertical angles.

Answer:

$\angle IJM$ and $\angle LMO$