1. Measuring Angles

Given a circle with center O and points E and H on the circumference such that the central angle $\angle EOH$ measures $114°$, what is the measure of arc EH?

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

If angle $\mathrm{MNO}$ measures $112°$, what is the measure of angle $\mathrm{LMN}$?

If an angle in standard position has its terminal side passing through the point $(-3,4)$, what is the measure of the angle in degrees?

If angle $\mathrm{gfd}$ is in standard position and its terminal side lies along the positive $y$-axis, what is its measure?

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 $114°$?