It's puzzle time again!

[Gerald Lasser]

What did you enter into GeoGebra to find this? I sketched it there myself, but I don't know how to enter all of the constraints I need. (Dimensions are different in my sketch because I was dealing with different parts, but the problem is the same.)

Basically I made a function that shall solve to 0 at the given angle

so given that:
angle ABC = angle CDE
BC+CD = 26

I took:
tan(ABC)= BC/36
BC=36*tan(ABC)

and then

CD= 8*cos(ABC)
26 - 36*tan(ABC) = 8* cos(ABC)

so I made a graph for

f(ABC) = 26 - 36*tan(ABC) - 8* cos(ABC)

then the term  get 0 we have a solution