Question

1. m∠wvx = ____________ 9)

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In \(\triangle WUV\), \(\angle WVX\) is an exterior angle, and the non - adjacent interior angles are \(\angle W\) and \(\angle U\).

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

We know that \(\angle W = 35^{\circ}\) and \(\angle U=71^{\circ}\). So, \(m\angle WVX=\angle W+\angle U\).

$$m\angle WVX = 35^{\circ}+71^{\circ}=106^{\circ}$$

Answer:

\(106^{\circ}\)