Angle of Arrival

Q. The open loop transfer function of a system is $G\left(s\right)=\frac{s^2+6s+10}{s^2+2s+2}.$ The angles of arrival of its root loci are

1. $\pm \frac{\pi }{4}$
2. $\pm \frac{\pi }{3}$
3. $\pm \frac{\pi }{2}$
4. $\pm \frac{5\pi }{6}$