Can you solve this geometry problem for nine year olds?

[OmCheeto]

Man this is an old thread.
And I can't remember now if I solved this problem.
Quite the "head scratcher", as I recall.

See next figure, what happes here?

No.

In the diagram of @OmCheeto of post #18, ADEC is a 4 sided polygon, with enough information available that, using the law of cosines and law of sines

That's cheating, according to the OP.

Does anybody out there think they can solve it without using trig?

hmmm... Wondering if hdroogling with quotes works on a mac?

answer: Yes. And that appears to be the only instance of a "Hail Mary" on my computer. hmmmm...