Respuesta :

[tex]\angle z = 92[/tex]

Answer:

z = 92

Step-by-step explanation:

z = it's opposite angle

You need to figure out another angle in the triangle containing the 42-degree angle.

There are multiple ways to get there, but going from the 95 degree angle is how I will explain.

95 = 42 + 53

So, think the two small triangles are one big triangle.

95 + 39 = 134

180 - 134 = 46

Now back to the smaller one-

42 + 46 = 88

180 - 88 = 92

The opposite angle to z is 92, making z = 92.