A) For the control system described:
$G_c(s) = 1$, $G_p(s) = \frac{\omega_n^2}{s(s + 2\zeta\omega_n)}$, $H(s) = 1$
B) If $\omega_n = 10$ r/s, and $\zeta = 0.5$, determine the absolute value in degrees of the angle of the closed loop poles. The numerical answers must include 2 decimal places.