Analysis: (1) directly judge the congruence of two triangles according to "ASA";

(2) From the nature of rotation, it can be known that △ACE is an isosceles triangle and ∠ AEC = 75. According to the theorem of internal angle sum, we can get ∠CAE, which is the degree of rotation angle.

Answer: (1) Proof: ∫∠BAC =∠DAE, AB=AD, ∠B=∠D,

∴△ABC≌△ADE.

(2) solution: ∫△ABC?△ADE,

∴AC and AE are a set of corresponding edges,

∴∠CAE is rotation angle,

AE = AC，∠AEC=75，

∴∠ACE=∠AEC=75，

∴∠CAE= 180 -75 -75 =30。

Hope to adopt, thank you.