Answer:
#1.
BD = CE (given)
∠BDC = ∠ CEB (each 90° as BD and CE are altitudes)
BC = BC (common)
#2.
Yes, ∆CBD ≅ ∆BCE
(by RHS congruence)
#3.
Yes, ∠DCB = ∠EBC by [C.P.C.T.]
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