The number \(\text{cis } 75^\circ + \text{cis } 83^\circ + \text{cis } 91^\circ + \dots + \text{cis } 147^\circ\) is expressed in the form \(r \, \text{cis } \theta\), where \(0 \le \theta < 360^\circ\). Find \(\theta\) in degrees.
The sum works out to -2.38495 + 8.900753, which corresponds to an angle of theta = 105 degrees.
