PrepSwift: Similar Triangle Problems II (Quiz Question 3)

The answer key says that
∠ACD = ∠EDB
∠CAB = ∠DEB

and therefore the slopes are equal.

But I don’t understand why can’t ∠ACD = ∠DEB, which would then make ∠CAB = ∠EDB.

Is it because we’re using the order of the letters to follow along in the graph? If so, then I can see it. But then do we always follow the order of the letters? Why?

Thanks in advance for anyone’s help!

Yes and yes. This is important.

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