What is the length of AE?

Question

owlfred · Answer

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anonymous · Answer

CD and AD are 2
ED is sqrt(3)

Blue numbers are angles, can anyone help me figure out AE?

anonymous · Answer

You are given a lot of angles, but it requires no trigonometry. If you draw the bottom line only AED, and label the lengths given, you'll see it.

anonymous · Answer

I know that you can just get the length by subtracting ED from AD, but the questions require an exact answer (no decimals) and it goes on to use the numbers in further questions.

anonymous · Answer

Exact answer is 2- sq rt of 3

anonymous · Answer

There's no other way of putting it?

I thought I was missing something. :/ Thanks.

anonymous · Answer

That is it. You take the simplest, accurate route to an answer; unless you specifically instructed to use one method or not use a method.