<image>Explore:
(1) As shown in Figure ①, what is the relationship between ∠1 + ∠2 and ∠B + ∠C? Why?
(2) Folding triangle △ABC along DE in Figure ①, we get Figure ②. Fill in the blank: ∠1 + ∠2 ______ ∠B + ∠C (fill in with “>”, “<”, or “=”), and when ∠A = 40°, ∠B + ∠C + ∠1 + ∠2 = ______;
(3) As shown in Figure ③, which is obtained by folding △ABC along DE in Figure ①, if ∠A = 30°, then x + y = 360° - (∠B + ∠C + ∠1 + ∠2) = 360° - ______ = ______. Guess the relationship between ∠BDA + ∠CEA and ∠A: ______. 