9.55 degrees.
step-by-step explanation:
the given angle is
1 cycle is equal to 2Ï€ radians. so 4Ï€ will be equal to two cycles.
5.166667Ï€-4Ï€ = 1.166667Ï€
hence, this angle goes a little more than negative x axis.
1.166667Ï€-Ï€= 0.166667Ï€
hence, the reference angle is 0.166667Ï€ radians.
1 radian = 57.2958 degrees
now, in degrees, this should be equals to 9.55 degrees.