Please Help ME!! I BEG YALL! Ill give BrAINlIeSt! :) Given the figure below, find the values of x and z.

Answer: [tex]\left \{ {{x=10} \atop {z=63}} \right.[/tex]
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
[tex]9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right][/tex]
Hope it helps <3