Find the length indicated. FIND CE

This is an intersection problem.

Call CD y. 

Then 10+y=x+26

and

3x+47+y=27+x

solving

we get for x and y

respectively

-12 

and 

4

therefore 

y

is 

4

.

(3x + 47) + (x + 26) = (27 + x) + 10

 

3x = - 36

 

x = - 12

 

CE = x + 26

 

CE = - 12 + 26 = 14