Answer:
x=13
z=84
Step-by-step explanation:
The intersection of two of these lines actually have relationships. The two angles that have the variable x both add up to 180 degrees since we assume for them to be a straight line, and the angle with '11x-59' is equal to Z since they are vertical from each other.
Knowing this, we can add the two equations together and equal it to 180. This is to give us the variable x.
(11x-59)+(13x-73)=180 (always use parenthesis!)
24x-132=180 (combine like terms)
24x=312
x=13 (isolate x)
We now know that the x stands for 13, but we are not done. By plugging in the variable x in for the equation 11x-59, we can find the value of z since they are vertical angles.
11(13)-59=84
z=84
