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The angles measuring (14x -9) and (15x + 15) are supplementary.
Using this fact, we can solve for x.
(14x - 9) + (15x + 15) = 180
29x + 6 = 180
29x = 174
174
X =
29
X = 6
Because the angles that measure z and (14x -9) are vertical angles, their measures are equal.
z =14x - 9
Substituting x =6 into this equation, we can solve for z.
Z = 14.6-9
Z =75
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