Question

which name can be used for the 20° angle? ∠evt
how is ∠evt related to ∠nve?
both angles have a vertex at point ? .
both angles share the side vt, nv, ve, vt (with a dropdown and a diagram showing a coordinate system with points n, s, e, w, v, and angles 90° and 20°)

Explanation:

Step1: Identify the vertex of the angles

Looking at the diagram, both $\angle EVT$ and $\angle NVE$ have their vertex at point $V$. This is because the vertex of an angle is the common endpoint of the two rays forming the angle, and for both angles, the common point is $V$.

Step2: Confirm the shared side

To find the shared side, we analyze the sides of each angle. $\angle EVT$ has sides $VE$ and $VT$, and $\angle NVE$ has sides $NV$ and $VE$. So the shared side is $VE$. But for the vertex part, we focus on the common vertex.

Answer:

The vertex is at point $V$. For the shared side, it's $VE$, but the vertex answer is $V$.