Answer:
The value of x=3
Step-by-step explanation:
We are given that
AE is parallel to BD.
BC=12 units
CD=16 units
DE=4 units
AB=x
We have to find the value of x.
Triangle proportionality theorem:
When a line is parallel to one side of a triangle and intersect the other two sides of triangle, then the line divides the sides proportionally.
Using triangle proportionality theorem
[tex]\frac{BC}{AB}=\frac{CD}{DE}[/tex]
[tex]\frac{12}{x}=\frac{16}{4}[/tex]
[tex]x=\frac{12\times 4}{16}[/tex]
[tex]x=3[/tex]units
Hence, the value of x=3
