Question

after another wind change, the weathervane has turned an additional 20° and stopped at point t. how can you find m∠nvt? 90°−20°=70° 90°+90°=180° 20°+20°=40° 90°+20°=110°

Explanation:

Step1: Analyze the angle composition

We know that one part of the angle \( \angle NVT\) is \(90^{\circ}\) (from \(N\) to \(E\) perpendicular) and another part is \(20^{\circ}\) (the additional turn).

Step2: Calculate the measure of \( \angle NVT\)

To find \(m\angle NVT\), we use the angle - addition principle. If we have two adjacent angles, the measure of the larger angle formed by them is the sum of their measures. So \(m\angle NVT=90^{\circ}+20^{\circ}\)

Answer:

\(90^{\circ}+20^{\circ} = 110^{\circ}\)