Here, we want to find the value of x
From the diagram, we have it that the angles 9x, 18 and 90 are on a straight line
Mathematically, the sum of an angles on a straight line is 180
Thus;
[tex]\begin{gathered} 9x\text{ + 18 + 90 = 180} \\ 9x\text{ + 108 = 180} \\ 9x\text{ = 180-108} \\ 9x\text{ = 72} \\ x\text{ = }\frac{72}{9} \\ x\text{ = 8} \end{gathered}[/tex]