Inscribed Angles and Inetercepted Arcs

Angle AEB is 10º. Why? Does that do anything for us?
Arc CD is 10º. Why? Does that do anything for us?
Angle ABE is nicely labeled 90º. Why? Is there a "diameter" rule for that? What does this say of Angles ACE and ADE?

Are we getting ANYWHERE?!
 
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