1. Measuring Angles

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?

If an angle $\mathrm{lkj}$ in standard position has a terminal side that passes through the point $(7,6)$ on the coordinate plane, what is the measure of angle $\mathrm{lkj}$ in degrees, rounded to the nearest whole degree?

In standard position, if $\theta$ = $53°$, what is the reference angle?

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

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

An angle measuring $154°$ in standard position is classified as which type of angle?

If ray $\overrightarrow{\mathrm{AB}}$ is rotated counterclockwise about the origin to coincide with ray $\overrightarrow{\mathrm{AC}}$ in standard position, and the measure of angle $\angle BAC$ is $120$ degrees, how many degrees has $\mathrm{ABC}$ been rotated counterclockwise about the origin?

Given a circle with center O and points A, B, and C on the circumference such that angle $\angle AOB$ is $72°$ and angle $\angle BOC$ is also $72°$, what is the measure of angle $\angle CBE$ if E is the point where the extension of $OB$ meets the circle again?

Which of the following is defined using the undefined terms $\mathrm{point}$ and $\mathrm{line}$?

An angle formed by the intersection of two adjacent sides of a polygon is called a(n) $?$ angle.