1. Measuring Angles

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

Given that $m\angle klh$ = $120°$ and $m\angle klm$ = $180°$, what is the measure of the angle between the terminal sides of these two angles in standard position?

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

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 $m\angle 2=m\angle 3$.

Suppose an angle $\theta$ in standard position has a measure of $140°$. In which quadrant does its terminal side lie?

If an angle $\mathrm{AFE}$ is in standard position and its terminal side passes through the point $(0,1)$ on the unit circle, what is the measure of angle $\mathrm{AFE}$ in degrees?

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?

If two angles are in standard position and their terminal sides coincide, and angle 1 has a measure of $50°$, which of the following could be the measure of angle 2?

Given a circle with center $H$ and an arc $EF$ in standard position, what is the measure of arc $EF$ if the central angle is $114°$?

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

Which of the following angles in standard position corresponds to a point on the negative $y$-axis?

If $m\angle \mathrm{SQR}$ and $m\angle \mathrm{QRS}$ are two angles in standard position, which angle has a measure equal to the sum of $m\angle \mathrm{SQR}$ and $m\angle \mathrm{QRS}$?

Given a right triangle where angle $ACB$ is one of the non-right angles and the side opposite angle $ACB$ is $4$ units while the side adjacent to angle $ACB$ is $3$ units, which is the approximate measure of angle $ACB$?

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