Question

identify the pair of acute vertical angles.

o ∠tnu & ∠snu
o ∠rmv & ∠tnv
o ∠tnu & ∠snr
o ∠unt & ∠rnt

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are the non - adjacent angles formed by two intersecting lines.

Step2: Recall acute - angle definition

An acute angle is an angle whose measure is less than 90 degrees.

Step3: Analyze each option

• Option 1: $\angle TNU$ and $\angle SNU$ are adjacent angles, not vertical angles.
• Option 2: $\angle RMV$ and $\angle TNV$ are vertical angles. Also, they appear to be less than 90 degrees (acute).
• Option 3: $\angle TNU$ and $\angle SNR$ are not vertical angles.
• Option 4: $\angle UNT$ and $\angle RNT$ are adjacent angles, not vertical angles.

Answer:

$\angle RMV$ & $\angle TNV$