Question

What is the value of x? Enter your answer in the box

Answer 1

Hey there! :D

Find the scale. 

15/5=3

Multiply that factor by 8. 

8*3=24

x=24

I hope this helps!
~kaikers

Answer 2

see the attached figure with letters to better understand the problem

we know that

m∠BCA=m∠ECD ----------> by vertical angles

m∠BAC=m∠CED --------> given problem

we know that

If two triangles have two identical internal angles, then the triangles are similar.

so

Triangles ABC and EDC are similar

by proportion

$\frac{x}{15} =\frac{8}{5} \\ \\5*x=8*15\\ \\x=(8*15)/5\\ \\x=24\ in$

therefore

the answer is

the value of x is $24\ in$