Answer: The value of x =12
Step-by-step explanation:
Given : The triangles are similar by the AA Similarly Postulate.
We know that the corresponding sides of two similar triangles are proportional.
Then from the given figure , we have
[tex]\dfrac{6}{6+2}=\dfrac{9}{x}\\\\\Rightarrow\dfrac{6}{8}=\dfrac{9}{x}\\\\\Rightarrow\ x=\dfrac{9\times8}{6}\\\\\Rightarrow\ x=12[/tex]
Hence, the value of x =12
