Straight angle: $$\theta = 270^\circ$$

Question 1

Which of the following best describes a ray AB?

Accepted Answer

A portion of line AB that starts at A and continues through B, and on past B.

Question 2

An angle is formed by two rays with a common endpoint. What is this endpoint called?

Accepted Answer

The vertex

Question 3

If the terminal side of an angle rotates counterclockwise from the initial side, the angle is:

Accepted Answer

A positive angle

Question 4

What is the degree measure of a complete rotation of a ray?

Accepted Answer

$$360^\circ$$

Question 5

Which of the following is the correct formula to find the complement of an angle $$x$$?

Accepted Answer

$$90^\circ - x$$

Question 6

Given two angles $$6x$$ and $$3x$$ that are complementary, what is the value of $$x$$?

Accepted Answer

$$x = 10$$

Question 7

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

Accepted Answer

$$74.137^\circ$$

Question 8

Convert $$34.817^\circ to $$degrees, minutes, and seconds (rounded to the nearest second).

Accepted Answer

$$34^\circ 49' 01''$$

Question 9

Which of the following is a quadrantal angle?

Accepted Answer

$$90^\circ$$

Question 10

What is the least positive measure coterminal with $$908^\circ$$?

Accepted Answer

$$188^\circ$$

Question 11

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

Accepted Answer

$$285^\circ$$

Question 12

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

Accepted Answer

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

Question 13

A disk drive spins at 480 revolutions per minute. How many degrees does a point on the edge of the disk move in 2 seconds?

Accepted Answer

$$5760^\circ$$

Question 14

If an angle measures $$40^\circ$$, what is its supplement?

Accepted Answer

$$140^\circ$$

Question 15

Which of the following is true about coterminal angles?

Accepted Answer

They differ by a multiple of $$360^\circ.$$

Question 16

What is the value of $$x if$$ $$4x$$ and $$6x$$ are supplementary angles?

Accepted Answer

$$x = 18$$

Question 17

How many seconds are in one degree?

Accepted Answer

$$3600$$

Question 18

Which of the following is NOT a correct classification of angles by their measures?

Accepted Answer

Straight angle: $$	heta = 270^\circ$$

Question 19

If an angle is in standard position, where is its vertex located?

Accepted Answer

At the origin

Question 20

A student adds $$51^\circ 29'$$ and $$32^\circ 46'$$ and gets $$83^\circ 75'. $$What is the correct way to express this sum?

Accepted Answer

$$84^\circ 15'$$

Angles and Their Properties in Trigonometry

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