Question

the wind changes again and the weathervane turns another 70°. now it points directly south. which angle is adjacent to ∠tvs? ∠nvt what is m∠nvs? m∠nvs = °

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common side and a common vertex.

Step2: Identify the adjacent angle to ∠TVS

From the diagram, ∠NVT shares a common side \(VT\) and a common vertex \(V\) with ∠TVS.

Step3: Calculate \(m\angle NVS\)

We know that a right - angle is \(90^{\circ}\) and the given angle \(70^{\circ}\).
Since \(\angle NVS\) is composed of a right - angle and \(70^{\circ}\) angle.
\(m\angle NVS=90^{\circ}+70^{\circ}\)

Answer:

The angle adjacent to \(\angle TVS\) is \(\angle NVT\). \(m\angle NVS = 160^{\circ}\)