Consider the root locus for a unity-gain negative

feedback system having the characteristic equation 

, where k denotes the compensator

gain of

the forward path transfer function. 

Let theta_arriv

(in degrees) be the

value of the angle of arrival of the root locus branch arriving at the zero at 

State the value of theta_arriv (in degrees) = 

Note: Write your answer such that 0 <= theta_arriv<= 360 (degrees).