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Answer:
Your value of z is 71 degrees. The value of x is 11.
Step-by-step explanation:
You can determine the value of z by knowing that z and the 71 angle are vertical angles. Vertical angles are congruent to each other. We know that the x angle and the 71 angle are supplementary, or that they equal 180. So, set up the equations, and solve for x. :
[tex]180=71+(9x+10)\\180=81+9x\\99=9x\\x=11\\[/tex]