Respuesta :

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]