As shown in the figure, a, B and C are on the same straight line, and ∠ 1 = 2, ∠ 3 = D. try to judge the position relationship between BD and CE, and explain the reason

As shown in the figure, a, B and C are on the same straight line, and ∠ 1 = 2, ∠ 3 = D. try to judge the position relationship between BD and CE, and explain the reason

∵∠1=∠2,∴AD∥BE,
∴∠D=∠DBE,
∵∠3=∠D,
∴∠3=∠DBE,
∴BD∥CE.
Welcome to inquire