Math, asked by sunaym04, 1 year ago

pls solve this question (12)

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Answered by student8924
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I hope it's help u dear
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Answered by aayushkhanna1
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Since, BC║AE, AC is transversal.

∠EAC = ∠ACB                            (Alt. Interior angles)-(1)

∠EAC = ∠DAE                            (Given)

∠DAC = ∠ABC+∠ACB

∠EAC+∠DAE = ∠ABC+∠ACB

∠EAC+∠EAC = ∠ABC+∠EAC

∠EAC = ∠ABC                         -(2)

From(1) and (2),

∠ABC = ∠ACB

⇒AC = AB                                  (Sides opposite to equal angles are equal)

Hence, proved.

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