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"8/ ABC and DBC are two isosceles triangles on\nthe same side of \\( \\mathrm { BC } \\) . Prove that:\n(i) \\( \\mathrm { DA } \\) (or \\( \\mathrm { AD } ) \\) produced bisects \\( \\mathrm { BC } \\) at right\nangle.\n(ii) \\( \\angle \\mathrm { BDA } = \\angle \\mathrm { CDA } \\)"

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