Answer: The required value of x is 9 units.
Step-by-step explanation: Given that the polygons shown in the figure are similar.
We are to find the value of x in the figure.
We know that
the corresponding sides of two similar triangles are proportional.
From the given two similar polynomials, we must have
[tex]\dfrac{x-1}{6}=\dfrac{16}{12}\\\\\\\Rightarrow \dfrac{x-1}{6}=\dfrac{4}{3}\\\\\\\Rightarrow x-1=\dfrac{4\times6}{3}\\\\\\\Rightarrow x-1=8\\\\\Rightarrow x=1+8\\\\\Rightarrow x=9.[/tex]
Thus, the required value of x is 9 units.
