Question

ABCD is a quadrilateral in which AD equal BC and angle DAB equal angles CBA prove that triangle ABD congruence triangle BAC and BD equal AC and Angle ABD equal Angle BAC

Answer 1

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Answer 2

$\huge\mathbf\pink{Answer}$

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★ Given:-

AD = BC

∠DAB ≅ ∠BAC

★Prove :-

△ABD ≅△BAC

★ Proof:-

In △ABD & △BAC

AD = BC (Given)

AB = AB (Common)

⛬ △ABD ≅ △BAC (By SAS rule)

$\sf\pink{2)}$BD = AC

BD = AC (By CPCT)

$\sf\pink{3)}$∠ABD = ∠BAC (By CPCT)