Question

Please help, legit need to study for so many exams and this is the last thing on my mind to do. Appreciate anybody willing to help <33

Answer 1

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