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this is a geometric proof from James Stewart's calculus textbook page 192. I'm confused in the sequence of inequalities as part of the proof...

theta = arcAB < AB + EB ==> arcAB < AE + ED. How did EB turned into ED?

please check the picture I've uploaded with this post

theta = arcAB < AB + EB ==> arcAB < AE + ED. How did EB turned into ED?

please check the picture I've uploaded with this post