Question

what is the measure of an angle in standard position that has a terminal side from the orgin to point I?

Answer 1

Lets draw the standard unit circle:

By comparing the standard unit circle with the given one, we can note that

the searched angle is theta. From the unit circle, angle theta is 150 degrees, which in radians is equal to

$\frac{5\pi}{6}$

which corresponds to the last option.