which name can be used for the 20° angle? ∠etv ∠evn ∠evt ∠nvt
which name can be used for the 20° angle? ∠etv ∠evn ∠evt ∠nvt
Answer
Explanation:
Step1: Recall angle naming rules
An angle is named using three points: the vertex in the middle, and two points on the rays forming the angle. The vertex must be the middle letter.
Step2: Analyze each option
- $\angle ETV$: Vertex is T. The angle at T? No, the 20° angle has vertex V. Eliminate.
- $\angle EVN$: Vertex is V. Rays VE and VN? The angle between VE and VN is 90°, not 20°. Eliminate.
- $\angle EVT$: Vertex is V. Rays VE and VT. The angle between VE (east) and VT (the ray to T) is 20°, which matches.
- $\angle NVT$: Vertex is V. Rays NV and VT. The angle between NV (north) and VT: the angle between NV and VE is 90°, and between VE and VT is 20°, so between NV and VT is 90°+20°=110°, not 20°. Eliminate.
Answer:
$\angle EVT$