Question

which angle is adjacent to ∠tvs?
∠nvt
what is m∠nvs?
m∠nvs =

Explanation:

For the first sub - question (Which angle is adjacent to ∠TVS?):

Adjacent angles share a common side and a common vertex. ∠TVS and ∠NVT share the vertex V and the side VT. So ∠NVT is adjacent to ∠TVS.

Step 1: Analyze the straight line

We know that a straight line forms a \(180^{\circ}\) angle. The angle \(\angle TVS\) is given as \(70^{\circ}\), and \(\angle NVS\) and \(\angle TVS\) are supplementary (they form a straight line along NS).

Step 2: Calculate \(m\angle NVS\)

The formula for supplementary angles is \(m\angle NVS + m\angle TVS=180^{\circ}\). We know \(m\angle TVS = 70^{\circ}\), so we can solve for \(m\angle NVS\) by rearranging the formula: \(m\angle NVS=180^{\circ}-m\angle TVS\).
Substitute \(m\angle TVS = 70^{\circ}\) into the formula: \(m\angle NVS = 180^{\circ}- 70^{\circ}=110^{\circ}\).

Answer:

∠NVT

For the second sub - question (What is \(m\angle NVS\)?):