Respuesta :

[tex]x\text{ = 8}[/tex]

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]

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