Please help geometry

x = -9

Step-by-step explanation:

Using tignometry:

let the acute angles be 'y'

therefore, (for the bigger triangle)

tan(y) = x+9/18

therefore, (for the smaller triangle)

tan(y) = 8/x+9

Now we know that:

(x+9)/18 = 8/(x+9)

(solving for x)

(x+9)^2 / 18*8 = 0

(x+9)^2 / 144 = 0

(x+9)^2 = 144 * 0

(x+9)^2 = 0

x + 9 = 0

x = -9

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