The figure contains triangle $ABC$ along with triangle $ABD$. Here $AB = 12\text{ cm}$, $BD = 7\text{ cm}$ and $AD = 6\text{ cm}$. Also, angle $DAC = 32^{\circ}$ and angle $BCA = 48^{\circ}$.
(a)[4]
Calculate the value of angle $BAD$.
(b)[4]
Calculate the value of $AC$.
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