Question

after another wind change, the weathervane has turned an additional 20° and stopped at point t.
how can you find ( mangle nvt )?
( 20^{circ}+20^{circ}=40^{circ} ) ( 90^{circ}+20^{circ}=110^{circ} )
( 90^{circ}-20^{circ}=70^{circ} ) ( 90^{circ}+90^{circ}=180^{circ} )

Explanation:

Step1: Analyze the angle composition

We know that one part of the angle \( \angle NVT\) is a right - angle (\(90^{\circ}\)) and the other part is \(20^{\circ}\).

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

By the angle - addition property, if we have two adjacent angles \(A\) and \(B\), the measure of the combined angle \(C=A + B\). Here, \(A = 90^{\circ}\) and \(B=20^{\circ}\), so \(m\angle NVT=90^{\circ}+20^{\circ}\).

Answer:

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