1. Measuring Angles

Which of the following angles in standard position has a positive measure?

Which of the following is a measure of an angle that is coterminal with a $95°$ angle?

If angle $\angle MON$ is a straight angle and bisects angle $\angle MOQ$, what is the measure of angle $\angle MOP$?

An angle in standard position has its initial side along the positive $x$-axis. If its terminal side passes through the point $(4,15)$, what is the measure of the angle in degrees, rounded to the nearest whole number?

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.

-7𝜋/4

If an angle in standard position has its initial side along the positive x-axis and its terminal side passes through point D on the unit circle such that the intercepted arc AD measures $96°$, what is the measure of arc AD?

If an angle $c$ in standard position has its terminal side passing through the point $(1,1)$ in the first quadrant, what is the measure of angle $c$ in degrees?

In the context of angles in standard position, which type of angle is formed by extending one side of a $\mathrm{triangle}$ beyond its vertex?

If an angle $d$ in standard position has its terminal side passing through the point $(12,9)$ on the coordinate plane, what is the measure of angle $d$ to the nearest degree?

If the smallest angle of rotation for a regular polygon is $18°$, how many sides does the polygon have?

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

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

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.

14𝜋/3

At 7:00, what is the angular position in radians of the minute hand of a clock in standard position, measured from the positive $x$-axis (3 o'clock position) counterclockwise?

If an angle in standard position intercepts an arc from point $Q$ to point $P$ on a circle, and the measure of the arc $\mathrm{QP}$ is closest to which of the following values?