As shown in the figure, in the right angle trapezoid ABCD, ad ‖ BC, ab ⊥ BC, ∠ DCB = 75 °, the other vertex e of equilateral △ DCE with CD as one side is on the waist ab. (1) calculate the degree of ∠ AED; (2) prove: ab = BC

As shown in the figure, in the right angle trapezoid ABCD, ad ‖ BC, ab ⊥ BC, ∠ DCB = 75 °, the other vertex e of equilateral △ DCE with CD as one side is on the waist ab. (1) calculate the degree of ∠ AED; (2) prove: ab = BC


(1) In ∵ equilateral △ DCE, ∵ CDE = 60 ° and ∵ ade = 45 °. ∵ ab ⊥ BC, ad ∥ BC, ∵ DAB = 90 ° and ∵ AED = 45 ° (2) ∵ right angle △ AED,