For numbers 11-16 Find x, y, and z for each. Show all work.
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Answer:
x=74
y=37
z=25
Step-by-step 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!