Question

which angle is adjacent to \\( \angle tvs? \\) \\( \angle nvt \\) what is \\( m \angle nvs? \\) \\( m \angle nvs= \\) an error has occurred. please enter a number.

Explanation:

Step1: Analyze the angle relationship

Adjacent angles share a common side and vertex. $\angle TVS$ and $\angle NVT$ do not share a common side.
$\angle TVS$ and $\angle SVW$ do not share a common side.
$\angle TVS$ and $\angle EVT$ do not share a common side.
$\angle TVS$ and $\angle NVS$:
We know that a full - circle around point $V$ is $360^{\circ}$. The right - angle is $90^{\circ}$, and we are given angles $110^{\circ}$ and $70^{\circ}$.
We can also calculate using the fact that $\angle NVS$ is composed of a right - angle ($90^{\circ}$) and an angle adjacent to the $70^{\circ}$ angle.
Another way: The sum of angles around a point is $360^{\circ}$. But we can also use the fact that $\angle NVS=90 + 70$ (by observing the non - overlapping adjacent angles that make up $\angle NVS$).

Step2: Calculate $m\angle NVS$

Since $\angle NVS$ is composed of a $90^{\circ}$ angle (the right - angle at $V$ between $VE$ and $VN$) and a $70^{\circ}$ angle (adjacent to it), we use the angle - addition postulate.

$$m\angle NVS=90 + 70$$

$$m\angle NVS = 160^{\circ}$$

Answer:

$m\angle NVS=160$