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?
∠evt
how is ∠evt related to ∠nve?
both angles have a vertex at point?
both angles share the side?
(image: a coordinate system with n (north), s (south), e (east), w (west) intersecting at point v. theres a right angle between n - v - e, and a 20° angle between e - v - t, and a weathervane arrow from w - v to e - v to t - v)

Explanation:

Step1: Identify Vertex

Both angles \( \angle EVT \) and \( \angle NVE \) have their vertex at the intersection point of the axes, which is point \( V \).

Step2: Identify Shared Side

The side \( VE \) is common to both \( \angle EVT \) (with sides \( VE \) and \( VT \)) and \( \angle NVE \) (with sides \( NV \) and \( VE \)).

Answer:

• Vertex: \( V \)
• Shared Side: \( VE \)