Question

after another wind change, the weathervane has turned an additional 20° and stopped at point t. which name can be used for the 20° angle? ∠etv ∠evn ∠evt ∠nvt

Explanation:

Step1: Recall angle - naming convention

An angle is named with the vertex in the middle. The 20 - degree angle has vertex \(V\), and the rays forming the angle are \(\overrightarrow{VE}\) and \(\overrightarrow{VT}\).

Step2: Check each option

• For \(\angle ETV\), the vertex is \(T\), not \(V\), so it's incorrect.
• For \(\angle EVN\), the rays are \(\overrightarrow{VE}\) and \(\overrightarrow{VN}\), not the rays forming the 20 - degree angle, so it's incorrect.
• For \(\angle EVT\), the vertex is \(V\) and the rays are \(\overrightarrow{VE}\) and \(\overrightarrow{VT}\) which form the 20 - degree angle, so it's correct.
• For \(\angle NVT\), the rays are \(\overrightarrow{VN}\) and \(\overrightarrow{VT}\), not the rays forming the 20 - degree angle, so it's incorrect.

Answer:

\(\angle EVT\)