Answer:
x= 8
z= 116 degrees
Explanation:
the two given angle measures are vertical angles so they are equal to each other, the equation is: 12x-32 = 11x-24
simplify this to get: x= 8
plug the value of x into either of the given equations, I will use the first one: 12(8) - 32
this means that the angle of one of them is 64
and since z and 12x-32 make a straight angle (180 degrees)
you can subtract 64 from 180 to find z
this gives you 180-64 = 116