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° = 110°; 90° + 90° = 180°; 20° + 20° = 40°; 90° - 20° = 70°

Explanation:

Step1: Analyze the diagram

From the diagram, we can see that \(\angle NVE\) is a right angle, so \(m\angle NVE = 90^{\circ}\). The weathervane has turned an additional \(20^{\circ}\) from \(VE\) to \(VT\), so we need to find the measure of \(\angle NVT\) by adding the right angle and the additional turn.

Step2: Calculate the angle

To find \(m\angle NVT\), we add the measure of the right angle (\(90^{\circ}\)) and the additional \(20^{\circ}\) turn. So the calculation is \(90^{\circ}+ 20^{\circ}=110^{\circ}\).

Answer:

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