10. In a quadrilateral ABCD. ABAD and AC bisects ZA show thatAABC AABD – InterviewSolution

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10. In a quadrilateral ABCD. ABAD and AC bisects ZA show thatAABC AABD.

Answer»

IN ΔABD and ΔCBD ,

AD = CD [ given ]BD = BD [ Common ]AB = BC [ given ]

ΔABD ≅ ΔCBD [ SSS ]∠ABD = ∠1 ∠CBD = ∠2∠1 =∠2 [ CPCT ]

Also ,∠3 = ∠4 [ CPCT ]

Hence ,

BD bisects both the angles ABC and ADE

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