\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let A, B, and C be three points in the complex plane with respective affixes \(z_A = 1\), \(z_B = 3\), and \(z_C = 3+2i\sqrt{3}\).
Calculate the measure of the angle \(\Angle{BAC}\).
\(\Angle{BAC}=\)

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