1. Measuring Angles

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

If angle $\mathrm{COA}$ is in standard position and its terminal side passes through the point (−$1$, $2$), what is the measure of angle $\mathrm{COA}$ to the nearest degree?

Line $ef$ is tangent to circle $g$ at point $a$. If the measure of angle $eag$ is $95°$, what is the measure of the angle between the tangent and the radius at point $a$?

Point E is located at coordinates $(0,1)$ on the terminal side of an angle in standard position. What is the measure of this angle in degrees?

If an angle in standard position has its terminal side passing through the point $(2,5)$ in the coordinate plane, what is the measure of the angle (in degrees) to the nearest tenth? $42.5°$ $67.5°$ $85°$ $135°$

Which of the following pairs of angles are adjacent angles in standard position?

If the initial side of an angle in standard position lies along the positive $x$-axis and is rotated clockwise to coincide with the negative $y$-axis, by what angle (in $\mathrm{degrees}$) has it turned?

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?

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

Julian describes an angle in standard position whose terminal side coincides with the terminal side of both $\angle h$ and $\angle k$. Which angle(s) is Julian describing?

Given an angle in standard position, what is the measure of the angle of elevation from point l to point j if the correct value is $37°$?

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

If an angle $\mathrm{jhn}$ is in standard position and its terminal side passes through the point $(3,4)$ on the coordinate plane, what is the measure of $\mathrm{jhn}$ in degrees?

If an angle is formed by a $270°$ clockwise rotation from the positive x-axis, what is its measure in standard position?

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.