∫AB∥DE，∠E=65

∴∠ AFC = 65 (two straight lines are parallel and have the same angle)

∠∠AFC is the outer corner of △AFB, which is not adjacent to ∠B and ∠ C.

∴∠ B+∠ C = 65 (the outer angle of a triangle is equal to the sum of two non-adjacent inner angles)

19、

∠∠ABD is the outer corner of △ABC, not adjacent to ∠A and ∠ C.

∴∠

∠∠A = C, ∠ABE=∠EBD (known; Importance of angular bisector)

∴∠∠

∴BE∥AC (two straight lines with the same inner angle are parallel)