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As shown in the figure, it is known that ∠ 1 + 2 = 180 ° and ∠ 3 = B. try to judge the relationship between ∠ AED and ∠ C, and rationalize the conclusion
It is proved that: ∵ 1 + ∠ 4 = 180 ° (definition of adjacent complementary angle) ∵ 1 + ∠ 2 = 180 ° (known) ∵ 2 = ∠ 4 (equal complementary angle of the same angle) ∥ EF ‖ AB (equal internal stagger angle, two parallel lines) ∵ 3 = ∠ ade (two parallel lines, equal internal stagger angle) and ∵ B = ∠ 3 (known) ∵ ade = ∠ B (equivalent substitution), ∥ de ‖ BC (equal angle, two parallel lines) ∵ AED = ∠ C（ Two straight lines are parallel, and the same angle is equal
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