Answer:
x = 10
Explanation:
Because the transverse lines are parralell, the following must be true
[tex]\frac{x+8}{x+2}=\frac{3}{2}[/tex]
cross multipication gives
[tex]\begin{gathered} 2(x+8)=3(x+2) \\ \end{gathered}[/tex]
which simplifies to give
[tex]\begin{gathered} 2x+16=3x+6 \\ \end{gathered}[/tex]
subtracting 2x from both sides gives
[tex]16=x+6[/tex]
subtracting 6 from both sides gives
[tex]10=x[/tex]
Hence the value of x is 10.
