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 that angle $\angle DAE$ is in standard position and its terminal side passes through the point $(3,4)$, what is the measure of $\angle DAE$ in degrees?

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

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

If angle $PQR$ is in standard position and measures $75°$, in which quadrant does its terminal side lie?

Given a circle with center $D$, if arc $\mathrm{BEC}$ subtends a central angle of $210°$, what is the measure of arc $\mathrm{BEC}$ in degrees?

Given that angle $ABC$ is in standard position and its terminal side passes through the point $(12,7)$, which is the best approximation for the measure of angle $ABC$ in degrees?

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 $114°$?

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.