Given the closed$-$loop system in the figure with $C(s)=\frac{K}{s+1}$ and $G(s)=\frac{1}{(s+2)(s+10)}$ determine the gain margin $G_M$ in absolute units and phase margin ${}_M$ in degrees

$G_M=5\mathrm{.}66$ and ${}_M=20\mathrm{.}16$

$G_M=3^{\text{a}\text{n}\text{d}}{}_M=25\mathrm{.}39$

$G_M={18}^{\text{a}\text{n}\text{d}}{}_M=73\mathrm{.}08$

$G_M=7\mathrm{.}92$ and ${}_M=73\mathrm{.}08$