1. Measuring Angles

Given an angle in standard position with its initial side along the positive $x$-axis and its terminal side passing through point $S$ on the unit circle, if the arc $QS$ subtends an angle of $120°$ at the origin, what is the measure of arc $QS$ in radians?

If $\angle nlm$ is an angle in standard position whose initial side is along the positive x-axis and whose terminal side passes through the point $(0,1)$, what is the measure of $\angle nlm$ in degrees?

If an angle $s$ in standard position has its terminal side passing through the point $(3,4)$ on the coordinate plane, what is the measure of angle $s$ to the nearest degree?

An angle in standard position has its terminal side passing through the point with coordinates $(0,-1)$. Which of the following is the measure of the angle $m$ in degrees?

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

Given the polar coordinate $(-6,\frac{\pi }{12})$, which of the following points in rectangular coordinates represents the same location?

Given that $m\angle \mathrm{KLH}=120°$ and $m\angle \mathrm{KLM}=180°$, which statement is true about these angles in standard position?

If an angle in standard position intercepts an arc of a unit circle with a measure of $64°$, what is the measure of the arc in degrees?

Segments $ac$ and $bd$ are diameters of circle $O$. What is the measure of the angle formed by these diameters if the angle is greater than $180°$ and less than $360°$?

An angle is drawn in standard position with its terminal side in the second quadrant. Which of the following could be the measure of this angle?

Given two adjacent angles $\angle \mathrm{DEA}$ and $\angle \mathrm{AEB}$ that together form a straight angle, what is the numerical sum of their degree measures?

An angle in standard position has its initial side along the positive $x$-axis and its terminal side passes through the point $(0,1)$ on the unit circle. What is the measurement of this angle in degrees?

In the context of angles in standard position, which of the following pairs of angles are considered vertical angles?

Rectangle $JKML$ is rotated clockwise around point $P$ so that it maps onto itself. What is the smallest positive angle of rotation that will accomplish this?

In the context of angles in standard position, the term ? is used to identify the reference point or angle.