(C) Let $z = -1 + i\sqrt{3}$.Here,the real part $x = -1$ and the imaginary part $y = \sqrt{3}$.Since $x 0$,the complex number lies in th

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(C) Let $z = -1 + i\sqrt{3}$.Here,the real part $x = -1$ and the imaginary part $y = \sqrt{3}$.Since $x 0$,the complex number lies in the second quadrant.The argument $\theta$ is given by $\theta = 180^\circ - \tan^{-1}\left|\frac{y}{x}\right|$.$\theta = 180^\circ - \tan^{-1}\left|\frac{\sqrt{3}}{-1}\right| = 180^\circ - \tan^{-1}(\sqrt{3}) = 180^\circ - 60^\circ = 120^\circ$.