Question

For numbers 11-16 Find x, y, and z for each. Show all work.

Answer 1

x=74

y=37

z=25

Explanation:

First, we can find y.

106 and 2y are supplementary angles. That means that when added together, they equal 180.

106+2y=180

2y=74

y=37

We can use this information to help us find x.

x and 2y are corresponding angles, which means that they are congruent.

2y=x

2(37)=x

74=x

Now, let's find z.

4z+6 is corresponding to the angle right above angle x. This means that (4z+6)+x=180.

Let's solve.

(4z+6)+74=180

4z+80=180

4z=100

z=25

Hope this helped!