It is known that, as shown in the figure, in △ ABC, ad and AE are the bisectors of height and angle of △ ABC respectively, if ∠ B = 30 ° and ∠ C = 50 ° (1) find the degree of ∠ DAE; (2) try to write out the relationship between ∠ DAE and ∠ C - ∠ B? (no proof required)

It is known that, as shown in the figure, in △ ABC, ad and AE are the bisectors of height and angle of △ ABC respectively, if ∠ B = 30 ° and ∠ C = 50 ° (1) find the degree of ∠ DAE; (2) try to write out the relationship between ∠ DAE and ∠ C - ∠ B? (no proof required)

(1) In RT △ abd, ∠ bad = 90 ° - B = 60 ° and ∠ DAE = ∠ bad - BAE = 60 ° - 50 = 10 °; (2) ∠ C - B = 2 ∠ DAE