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- AB = AC
- AE is drawn parallel to BC
AD bisects ∠DAC.
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In ∆ABC,
∠1 = ∠2 ...(i) ; [ angles opposite to equal sides of triangle. ]
And, AE || BC . So,
∠1 = ∠3 ....(ii) ; [ corresponding angles. ]
∠2 = ∠4 ....(iii) ; [ alternate angles. ]
From (i) , (ii) and (iii)
∠3 = ∠4
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And hence,
AE is the bisector of ∠DAC proved.
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