Answer:
The value of x is [tex]7\frac{4}{5}[/tex].
Step-by-step explanation:
Given information: AE || BD
So, the triangle ACE and BCD are similar triangle, therefore their corresponding sides are proportional.
[tex]\frac{AC}{BC}=\frac{EC}{DC}[/tex]
[tex]\frac{AB+BC}{BC}=\frac{ED+DC}{DC}[/tex]
[tex]\frac{x+13}{13}=\frac{3+5}{5}[/tex]
[tex]5(x+13)=13\times 8[/tex]
[tex]5x+65=104[/tex]
[tex]5x=39[/tex]
[tex]x=\frac{39}{5}=7\frac{4}{5}[/tex]
Therefore the value of x is [tex]7\frac{4}{5}[/tex].
