1. Measuring Angles

If the smallest angle of rotation for a regular polygon is $18°$, how many sides does the polygon have?

If an angle is in standard position and its terminal side passes through the point $(1,1)$, what is the measure of the angle in degrees?

Given that angle $dcu$ is in standard position and its terminal side passes through the point $(0,1)$ on the unit circle, what is the measure of angle $dcu$ in degrees?

At 7:00, what is the angular position in radians of the minute hand of a clock in standard position, measured from the positive $x$-axis (3 o'clock position) counterclockwise?

If an angle in standard position intercepts an arc from point $Q$ to point $P$ on a circle, and the measure of the arc $\mathrm{QP}$ is closest to which of the following values?

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?