Answer:
z=108
x=5
Step-by-step explanation:
First, let's find z.
z is opposite from an angle that measures 108 degrees. Since they are opposite, they are vertical angles. This means that they are congruent or equal.
z=108
Next, let's find x.
108 and 6x+42 are on a straight line, which means they are supplementary, and add to 180 degrees.
6x+42+108=180
Combine like terms by adding 42 and 108
6x+150=180
Now, we have to solve for x, by getting x by itself.
First, subtract 150 from both sides, because 150 is being added to 6x.
6x+150-150=180-150
6x=180-150
6x=30
Next, divide both sides by 6, because 6 and x are being multiplied.
6x/6=30/6
x=30/6
x=5
So, z=108 and x=5