Find the values of x, y, and z.

x = 7

y =  26

z = 6

Step-by-step explanation:

First, we can use vertical angles to say the angle with measure 10x + 6 is equal to the angle with measure 16x - 36. Because of this, we can set up an equation to solve for x:

10x + 6 = 16x - 36

6 = 6x -36

6x = 42

x = 7

Next, we can realize the angle 10x + 6 and 4y are supplementary and add up to 180 because they form a straight line. We can set up and solve the equation:

10x + 6 + 4y = 180

We found x = 7, so we can plug that in:

70 + 6 + 4y = 180

76 + 4y = 180

4y = 104

y = 26

Now, we can realize that the angle 4y and 16z + 8 are vertical angles; this gives us the equation:

4y = 16z + 8

We found that y = 26, so we can plug that in to get:

104 = 16z + 8

16z = 96

z = 6

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step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2