Find the measure of the angle indicated by the red arrow.

Answer:
The angle is: [tex]\frac{4\pi}{3}[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The measure of the red arrow
Let the angle be [tex]\theta[/tex]
So, we have:
[tex]\theta =180 +[/tex]the green arrow
This gives:
[tex]\theta = 180 + \frac{\pi}{3}[/tex]
180 degrees in radian is:
[tex]180 \to \pi[/tex]
So, we have:
[tex]\theta = \pi + \frac{\pi}{3}[/tex]
Take LCM
[tex]\theta = \frac{3\pi+\pi}{3}[/tex]
[tex]\theta = \frac{4\pi}{3}[/tex]