Solution:
we are given that ΔABC and ΔXYZ are similar triangles.
As we know , when two triangles are similar then the ratios of their corrsponding sides are equal.
Here we have
BA = x + 9, AC = x + 7, YX = x + 5, and XZ = x + 4
So we can write
[tex] \frac{x+9}{x+5}= \frac{x+7}{x+4}\\
\\
(x+9)(x+4)=(x+7)(x+5)\\
\\
x^2+13x+36=x^2+12x+35\\
\\
13x-12x=35-36\\
\\
x=-1\\
\\ [/tex]
Hence then value of x=-1.
