Answers: x = 15, z = 118
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Work Shown:
9x-73 = 5x-13 ... the two vertical angles are congruent or equal
9x-5x = -13+73
4x = 60
x = 60/4
x = 15
once we know what x is, we can compute the angle expressions involving x
9x-73 = 9*15-73 = 135-73 = 62
5x-13 = 5*15-13 = 75-13 = 62
So this helps confirm we have the proper x value
Now subtract 62 from 180 to get the value of angle z
z+62 = 180
z = 180-62
z = 118
