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JoãoVitorMC
Consider the isosceles triangle with AB = AC. Suppose the angle bisector of B intersects the side AC at D and that BC = BD + AC. Determine the angle A.
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Your specifications are not correct. Note that\[BD \gt BA~and~BA+AC \gt BC~contradicts~BC = BD + AC\]
Sorry, my bad the right is: BC=BD+AD