1. Measuring Angles

Find a value of θ in the interval [0°, 90°) that satisfies each statement. Give answers in decimal degrees to six decimal places. See Example 2. cot θ = 0.21563481

If an angle $\theta$ is in standard position and $\theta =85°$, in which quadrant does its terminal side lie?

If angle $DEF$ measures $75°$, what is the measure of angle $CFD$ if $CFD$ and $DEF$ are supplementary angles in standard position?

An angle in standard position has its terminal side passing through the point $\left(3,,,4\right)$ in the coordinate plane. Estimate the measure of this angle within $10°$.

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?

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

In standard position, which axis does the terminal side of a $90°$ angle lie on?

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

If an angle in standard position intercepts an arc on a circle such that the arc measures $104°$, what is the measure of the arc QR?

If an angle $m\angle ABD$ is $100°$ in standard position, 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 $\left(1,1\right)$, what is the measure of $\mathrm{jhn}$ in degrees?

A regular decagon has all its interior angles equal. What is the measure of each interior angle of a regular decagon? Choose the correct answer.

If an angle in standard position has a measure of $95°$, what is the measure of its supplement?

Which of the following best describes an angle in standard position in the coordinate plane?

If an angle $m1$ in standard position measures $42°$, which of the following best describes its location on the coordinate plane?