Given the figure below, find the values of x and z.

x = 12

z = 101

Step-by-step explanation:

Hello There!

First lets find z

Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180

So we can find the missing angle by subtract the given angle (79 in this case) from 180

180 - 79 = 101 so z = 101

Now lets find x

The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles

If you didn't know vertical angles are congruent

That being said lets create an equation to solve for x

79 = 6x + 7

now we solve for x

step 1 subtract 7 from each side by

7 - 7 cancels out

79 - 7 = 72

now we have 72 = 6x

step 2 divide each side by 6

72/6=12

6x/6=x

we're left with x = 12