Question

Can someone please help me find the value of x?

Answer 1

The transver cut by the parallel lines are proportional

The value of x can be determined as,

`\begin{gathered} (AB)/(BC)=(DE)/(EF) \\ (3)/(5)=(5+x)/(24-(5+x)) \\ 3(19-x)=5(5+x) \\ 57-3x=25+5x \\ 32=8x \\ x=4 \end{gathered}`

Thus, the required value of x is 4.