1. Measuring Angles

Given an angle in standard position whose terminal side passes through the point $(1,1)$, what is the measure of angle $\mathrm{BAC}$? Round your answer to the nearest whole degree.

What is the angular position in radians of the minute hand of a clock at $5:00$, measured from the $12$ o'clock position in standard position (counterclockwise from the positive $x$-axis)?

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

Which of the following angle measures in degrees are coterminal with $45°$ in standard position?

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?

Given an angle $yzx$ in standard position, which of the following is the closest to its measure in degrees?

If an angle $\angle ABD$ is in standard position and its terminal side passes through the point $(3,4)$, what is the measure of $\angle ABD$ to the nearest degree?

Given two angles in standard position, $m_1$ = $27°$ and $m_2$ = $25°$, what is the measure of the angle formed by rotating from the initial side of $m_2$ to the terminal side of $m_1$ in the positive (counterclockwise) direction?

Given the points $17°$, $75°$, $149°$, and $211°$ on a circle, what is the measure in degrees of the minor arc from $75°$ to $149°$?

Given that $\angle PQR$ is an angle in standard position with its initial side along the positive x-axis and its terminal side passing through the point $(3,4)$, what is the measure of $\angle PQR$ in degrees?

In a regular pentagon, what is the measure in degrees of each interior angle?

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

Given that angle $wxy$ is in standard position and its terminal side passes through the point $(3,9)$, what is the measure of angle $wxy$ to the nearest degree?

Consider the equation $\sin \theta$. If $\theta$ is an angle in Quadrant IV, what is the value of $\sin \theta$?

If angle $CBD$ has a measure of $140°$, what is the measure of angle $ABD$ if point $A$ lies on the terminal side of angle $CBD$ such that $A$, $B$, and $D$ are collinear and $B$ is the vertex?