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

Question

asked Dec 28, 2022 97.2k views

1 Answer

Kenneth Cochran · Answer 1 · 2023-01-02T13:17:55+0000

Answer:

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

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

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