Question 1

Which of the following best describes a ray?

Accepted Answer

A portion of a line that starts at one point and continues infinitely in one direction.

Question 2

An angle is formed by two rays with a common endpoint. What is the name of this common endpoint?

Accepted Answer

Vertex

Question 3

If an angle is measured by a counterclockwise rotation, what type of angle is it?

Accepted Answer

Positive angle

Question 4

A complete rotation of a ray gives an angle whose measure is:

Accepted Answer

$360^\circ$

Question 5

What is the complement of a $40^\circ$ angle?

Accepted Answer

$50^\circ$

Question 6

What is the supplement of a $40^\circ$ angle?

Accepted Answer

$140^\circ$

Question 7

If two angles are complementary and one angle is $6x^\circ$ and the other is $3x^\circ$, what is the value of $x$?

Accepted Answer

$10$

Question 8

Convert $74^\circ 08' 14''$ to decimal degrees to the nearest thousandth.

Accepted Answer

$74.137^\circ$

Question 9

An angle is in standard position if:

Accepted Answer

Its vertex is at the origin and its initial side lies along the positive $x$-axis.

Question 10

Which of the following is a quadrantal angle?

Accepted Answer

$90^\circ$

Question 11

Find the least positive measure coterminal with $908^\circ$.

Accepted Answer

$188^\circ$

Question 12

Find the least positive measure coterminal with $-75^\circ$.

Accepted Answer

$285^\circ$

Question 13

Find the least positive measure coterminal with $-800^\circ$.

Accepted Answer

$280^\circ$

Question 14

Which expression generates all angles coterminal with $60^\circ$?

Accepted Answer

$60^\circ + n \cdot 360^\circ$

Question 15

A disk drive spins at $480$ revolutions per minute. Through how many degrees will a point on the edge of the disk move in $2$ seconds?

Accepted Answer

$5760^\circ$

Question 16

If an angle measures $34.817^\circ$, what is its equivalent in degrees, minutes, and seconds (rounded to the nearest second)?

Accepted Answer

$34^\circ 49' 1''$

Question 17

Which of the following is NOT a correct conversion?

Question 18

If two angles form a straight angle and are $4x^\circ$ and $6x^\circ$, what is the measure of the larger angle?

Accepted Answer

$108^\circ$

Question 19

A real-world scenario: A clock's minute hand moves from the 12 to the 3. What is the angle swept by the minute hand?

Accepted Answer

$90^\circ$

Question 20

Which of the following best describes coterminal angles?

Accepted Answer

Angles that share the same initial and terminal sides but differ by a multiple of $360^\circ$.

Angles and Their Measurement: Fundamental Concepts in Trigonometry

Study Guide - Practice Questions