Question

which angle is adjacent to ∠tvs? ∠nve ∠nvt ∠nvw

Explanation:

Step1: Recall adjacent angle definition

Adjacent angles share a common side and vertex, and their non - common sides form a linear pair (or are adjacent rays). For \(\angle TVS\), the vertex is \(V\), and one side is \(VS\).

Step2: Analyze each option

• For \(\angle NVE\): The sides are \(NV\) and \(VE\). It does not share a common side with \(\angle TVS\) (common side would need to involve \(VS\) or \(VT\)).
• For \(\angle NVT\): The vertex is \(V\), one side is \(NV\), and the other side is \(VT\). \(\angle TVS\) has sides \(VT\) and \(VS\). So \(\angle NVT\) and \(\angle TVS\) share the common side \(VT\) and vertex \(V\), and their non - common sides \(NV\) and \(VS\) are adjacent rays (forming a larger angle around \(V\)).
• For \(\angle NVW\): The sides are \(NV\) and \(VW\). It does not share a common side with \(\angle TVS\).

Answer:

\(\boldsymbol{\angle NVT}\)