Question

What is the value of x?

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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

`(x)/(15) =(8)/(5) \\ \\5*x=8*15\\ \\x=(8*15)/5\\ \\x=24\ in`

therefore

the answer is

the value of x is
`24\ in`