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Any ideas?

The question is not clear, can we assume that the sides are parallel?

Yes

Well, There is no parallel symbol on segment DE. so what would it be if it was not parallel?

1. ∡BDE ≅ ∡BCA
2. Corresponding Parts of Similar Triangles

Well that last statement says DE P AC. I am going ot assume "p" is parallel

I don't understand.

you and me both :(
Qwerty90 you didnt include the flowchart or the possible answers