1. Measuring Angles

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?

Given that angle $xyz$ is in standard position and its terminal side passes through the point $(40,28)$, which is the best approximation for the measure of angle $xyz$ in degrees?

Given a circle with center $O$ and points $Q$, $S$, and $R$ on the circumference such that angle $QOR$ is $60°$, what is the measure of arc $QSR$ in degrees?

Given that angle $xyz$ is in standard position and its terminal side passes through the point $(3,4)$, which is the best approximation for the measure of angle $xyz$ in degrees?

Given that angle $DFE$ is in standard position and its terminal side passes through the point $\left(4,,,3\right)$, what is the measure of angle $DFE$ to the nearest degree?

In the context of angles in standard position on the coordinate plane, which of the following pairs of angles are called coterminal angles?

What is the approximate measure of the angle shown below? Choose the most reasonable answer.