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?

Explanation:

For the first part, the angle is named \(\angle EVT\) which follows the standard angle - naming convention where the vertex is in the middle. For the second part, when looking at \(\angle EVT\) and \(\angle NVE\), by observing the diagram:

• The vertex of an angle is the common point. In \(\angle EVT\) and \(\angle NVE\), the common point (vertex) is \(V\).
• For the side they share, in \(\angle EVT\) the sides are \(VE\) and \(VT\), and in \(\angle NVE\) the sides are \(VN\) and \(VE\). So the common side is \(VE\).

Answer:

• Both angles have a vertex at point \(V\).
• Both angles share the side \(VE\).