ABCD is a quadrilateral. ∥ , AB = BC = CD, AC = AD. Find m∠ADC

Mathematics

1 answer:

ArbitrLikvidat [17]2 years ago

4 0

BD bisects both the angles ABC and ADE

<u>Step-by-step explanation</u>:

IN ΔABD and ΔCBD ,

AD = CD [ given ]

BD = BD [ Common ]

AB = BC [ given ]

ΔABD ≅ ΔCBD [ SSS ]

∠ABD = ∠1

∠CBD = ∠2

∠1 =∠2 [ CPCT ] ( by using congruence theorem)

Also ,

∠3 = ∠4 [ CPCT ]

Hence, BD bisects both the angles ABC and ADE

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