We are given the following angle:
[tex]\theta=-\frac{19\pi}{6}[/tex]To convert the angle to degrees we use the following conversion factor:
[tex]\theta_d=\frac{\theta_{rad}180}{\pi}[/tex]Replacing the values:
[tex]\theta_d=-\frac{19\pi}{6}\times\frac{180}{\pi}[/tex]Solving the operation:
[tex]\theta_d=-570[/tex]Therefore, the angle is -570 degrees.
