I need the exact statement for this proof so I can put it on deltamath!plz help

Question

Given: ∠ABD≅∠BDE

prove: ∠CBD≅∠CDB. C

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/ \ Note: AC and CE are segments

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/ \

B /______\ D

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A / \ E

Answer 1

We are given that ∠ABD≅∠BDE.

∠ABD and CBD are supplements of one another, and ∠BDE and ∠CDB are supplements of one another as well.

Supplements of congruent angles are congruent to each other, therefore ∠CBD≅∠CDB.