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? after another wind change, the weathervane has turned an additional 20° and stopped at point t.

Explanation:

Step1: Analyze the vertex of the angles

Looking at the diagram, both \(\angle EVT\) and \(\angle NVE\) have their vertex at point \(V\) (since the vertex of an angle is the common endpoint of its two sides, and both angles share the vertex at \(V\)).

Step2: Analyze the shared side

For the shared side, both angles \(\angle EVT\) and \(\angle NVE\) share the side \(VE\) (as \(VE\) is a common side between the two angles, with \(\angle EVT\) having sides \(VE\) and \(VT\), and \(\angle NVE\) having sides \(NV\) and \(VE\)).

Answer:

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