As shown in the figure, AC ⊥ CB, BD ⊥ CB, ab = DC, verify ∠ abd = ∠ ACD
prove:
∵AC⊥CB,BD⊥CB
∴∠ACB=∠DBC=90°
∴AB=DC,BC=CB
∴△ABC≌△DCB
∴∠DCB=∠ABC
∵∠ACB=∠DBC=90°
∴∠ABD=∠ACD
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