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Angle of complex numbers

z=38iz=-3-8i

Find the angle θ\theta (in degrees) that zz makes in the complex plane.
Round your answer, if necessary, to the nearest tenth. Express θ\theta between -180\textit{-180}^{\,\circ} and 180\textit{180}^{\,\circ}.
θ=\theta=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
^{\circ}