Answer:
x=7
z=74
Step-by-step explanation:
So this is a multistep problem.
The thing you would want to do first is take the the angles on the bottom and left and add them up. This will get you to 180 deg because two angles next to each other that are formed by the crossing of two lines will always add up to 180 degrees.
180=12x-10+11x+29
[combine like terms]
180=23x+19
{now solve}
[subtract 19 from both sides]
161=23x
[divide both sides by 23]
7=x
Now that you have found x you can find the angle marked "z"
The way I would do this would be to find the angle opposite of "z" because two angles opposite of eachother are always equal.
12x-10=z
[plug 7 in for x]
12(7)-10=z
84-10=z
74=z
