Question

question 6
identify pairs of acute adjacent angles.
angle rnv
angle vnr
angle vnt

Explanation:

Step1: Recall angle - type definitions

An acute angle is an angle whose measure is between 0° and 90°. Adjacent angles share a common vertex and a common side.

Step2: Analyze each angle

• $\angle RNV$ and $\angle VNR$ are the same angle. If it measures between 0° and 90°, it is acute.
• $\angle VNT$: We need to check if it is acute and has an adjacent acute - angle partner.
• For pairs: We look for angles that share a vertex (like N) and a side and are both acute. For example, if $\angle RNS$ and $\angle SNU$ are both acute and share side $\overrightarrow{NS}$ and vertex N, they are a pair of adjacent acute angles. Without angle - measure information, assume we are working with visual inspection. If we assume that in the given figure, $\angle RNS$ and $\angle SNU$ are both less than 90° and share side $\overrightarrow{NS}$ and vertex N, they are a pair. Also, if $\angle VNR$ and $\angle RNS$ are both acute and share side $\overrightarrow{RN}$ and vertex N, they are a pair.

Answer:

Pairs could be $\angle RNS$ and $\angle SNU$, $\angle VNR$ and $\angle RNS$ (assuming they are acute based on visual inspection as no angle - measure information is given)