1. Measuring Angles

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?

Find the absolute value of the radian measure of the angle that the second hand of a clock moves through in the given time. 3 minutes and 40 seconds

In Exercises 1–6, the measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. 87.177°

Concept Check Sketch each angle in standard position. Draw an arrow representing the correct amount of rotation. Find the measure of two other angles, one positive and one negative, that are coterminal with the given angle. Give the quadrant of each angle, if applicable. ―61 °

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?

Convert decimal degrees to degrees, minutes, seconds, and convert degrees, minutes, seconds to decimal degrees. If applicable, round to the nearest second or the nearest thousandth of a degree. 119° 08' 03"

In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.

-5𝜋/6

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?

Find the angle of least positive measure (not equal to the given measure) that is coterminal with each angle. ―203° 20'

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?