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Tylerwilliam:
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In the triangles ΔABD and ΔACD,
∠DAB=∠DAC.........(∵ AX bisects ∠CAB)
∠BDA=∠CDA.........(∵ AX bisects ∠CDA)
DA=DA.....................(common side)
∴By ASA congruence,
ΔABD≅ΔACD
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