Point E is located at coordinates $(0,1)$ on the terminal side of an angle in standard position. What is the measure of this angle in degrees?

An angle in standard position has its terminal side passing through the point $(0,-1)$ on the unit circle. Estimate the measure of this angle to the nearest one-half radian.

If an angle is formed by a $270°$ clockwise rotation from the positive x-axis, what is its measure in standard position?

An angle in standard position has its terminal side passing through the point $\left(3,,,4\right)$ in the coordinate plane. Estimate the measure of this angle within $10°$.

Given that angle 2 has measure $m\angle 2=a+15°$ and angle 3 has measure $m\angle 3=a+35°$, find the value of $a$ such that $m\angle 2=m\angle 3$.

If ray $\overrightarrow{\mathrm{AB}}$ is rotated counterclockwise about the origin to coincide with ray $\overrightarrow{\mathrm{AC}}$ in standard position, and the measure of angle $\angle BAC$ is $120$ degrees, how many degrees has $\mathrm{ABC}$ been rotated counterclockwise about the origin?

If an angle in standard position has its terminal side passing through the point $(0,1)$ on the unit circle, what is the measure of the angle in degrees?

If $\theta$ is in standard position and its terminal side passes through the point $(2,3)$, what is the degree measure of $\theta$ rounded to the nearest whole number?

If an angle in standard position has its terminal side passing through the point $(-3,4)$, what is the measure of the angle in degrees?