Question 1

Which of the following best describes a ray?

Accepted Answer

A portion of a line that starts at one point and extends 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 measures $$135^\circ$$, how would you classify it?

Accepted Answer

Obtuse

Question 4

Convert $$18^\circ 24' 36'' to $$decimal degrees. (Round to four decimal places.)

Accepted Answer

$$18.4100^\circ$$

Question 5

Which of the following angles is coterminal with $$75^\circ$$?

Accepted Answer

$$435^\circ$$

Question 6

An angle in standard position has its terminal side in Quadrant III. Which of the following could be its measure?

Accepted Answer

$$210^\circ$$

Question 7

If two angles are supplementary and one measures $$x^\circ$$, what is the measure of the other angle?

Accepted Answer

$$(180 - x)^\circ$$

Question 8

A clock’s minute hand moves from 12 to 4. What is the angle swept by the minute hand?

Accepted Answer

$$120^\circ$$

Question 9

Which of the following is NOT a quadrantal angle?

Accepted Answer

$$45^\circ$$

Question 10

Convert $$27.725^\circ to $$degrees, minutes, and seconds (DMS).

Accepted Answer

$$27^\circ 43' 30''$$

Question 11

If angle $$A is$$ $$40^\circ$$ and angle $$B is$$ $$50^\circ$$, what is their relationship?

Accepted Answer

They are complementary.

Question 12

Which of the following expressions gives all angles coterminal with $$-45^\circ$$?

Accepted Answer

$$-45^\circ + n \cdot 360^\circ$$, where $$n is $$any integer

Question 13

A gear rotates $$2.5$$ full turns. How many degrees has it rotated?

Accepted Answer

$$900^\circ$$

Question 14

Which of the following angles is an acute angle?

Accepted Answer

$$37^\circ$$

Question 15

If an angle is $$-120^\circ$$, in which quadrant does its terminal side lie when in standard position?

Accepted Answer

Quadrant III

Question 16

A satellite dish rotates $$1,250^\circ$$ from its starting position. What is the smallest positive coterminal angle between $$0^\circ$$ and $$360^\circ$$?

Accepted Answer

$$170^\circ$$

Question 17

Which of the following is the correct conversion for $$15^\circ 30' to $$decimal degrees?

Accepted Answer

$$15.5^\circ$$

Question 18

If the sum of two positive angles is $$180^\circ$$, and one angle is $$x^\circ$$, what is the measure of the other angle?

Accepted Answer

$$(180 - x)^\circ$$

Question 19

A Ferris wheel makes $$3$$ complete rotations. How many degrees has it turned?

Accepted Answer

$$1080^\circ$$

Question 20

Which of the following angles is NOT coterminal with $$60^\circ$$?

Accepted Answer

$$180^\circ$$

Angles: Basic Terminology, Degree Measure, Standard Position, and Coterminal Angles

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