In Figure, `A C=B C ,/_D C A=/_E C B` and `/_D B C=/_E A Cdot` Prove that triangles `D B C` and `E A C` are congruent, and hence `D C=E C` and `B D=A E`

Explanation

To prove that triangles \( DBC \) and \( EAC \) are congruent, and hence \( DC = EC \) and \( BD = AE \), we will follow these steps:

### Step 1: Write down the given information.
We are given:
1. \( AC = BC \)
2. \( \angle DCA = \angle ECB \)
3. \( \angle DBC = \angle EAC \)

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