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Triangle congruence proof involving angles and segments.

Geometric diagram showing triangle ABC with points D and E on sides AB and CB respectively, illustrating congruent angles ∠BAE and ∠BCD, and congruent segments AE and CD, with the goal to prove AB ≅ CB.

Geometric diagram showing triangle ABC with points D and E on sides AB and CB respectively, illustrating congruent angles ∠BAE and ∠BCD, and congruent segments AE and CD, with the goal to prove AB ≅ CB.

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