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 = ^{circ}

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common side and a common vertex.

Step2: Identify the adjacent angle to \(\angle TVS\)

From the diagram, \(\angle TVS\) and \(\angle NV T\) share the common vertex \(V\) and the common side \(V T\).

Step3: Calculate \(m\angle NVS\)

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

Answer:

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