Question

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

Answer 1

The angle is:
`(4\pi)/(3)`

Explanation:

Given

The attached plot

Required

The measure of the red arrow

Let the angle be
`\theta`

So, we have:

`\theta =180 +`the green arrow

This gives:

`\theta = 180 + (\pi)/(3)`

180 degrees in radian is:

`180 \to \pi`

So, we have:

`\theta = \pi + (\pi)/(3)`

Take LCM

`\theta = (3\pi+\pi)/(3)`

`\theta = (4\pi)/(3)`