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Add vectors: magnitude & direction

The magnitude and direction angle of v\vec v and w\vec w are given below in the form (r,θ)(r, \theta) where rr is the magnitude and θ\theta is the direction angle.
v=(7,200)\vec v = (7, 200^\circ)
w=(5,70)\vec w = (5, 70^\circ)
Write v+w\vec v + \vec w in the form (r,θ)(r, \theta).
It's okay to round your intermediate calculations and final answer to the nearest hundredth. Angle should be between 0\textit0\,^\circ and 360\textit{360}\,^\circ.
v+w( \vec v + \vec w \approx (~
  • 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}
 ,~,
  • 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)~