Question

what is ( mangle wxz )?
( mangle wxz=square )

Explanation:

Step1: Analyze the relationship between angles

We know that the sum of adjacent angles around a point is \(180^{\circ}\). Here, \(\angle WXY = 40^{\circ}\) and \(\angle YXZ=115^{\circ}\), and \(\angle WXZ=\angle WXY+\angle YXZ\)

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

Substitute the values of \(\angle WXY\) and \(\angle YXZ\) into the formula: \(m\angle WXZ = 40^{\circ}+ 115^{\circ}\)

$$m\angle WXZ=155^{\circ}$$

Answer:

\(155\)