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8.1 Angles and Degrees

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

If you draw a -190o angle in standard position, in what quadrant would the terminal side be?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

2.

If you were to draw a 250o angle in standard position, in what quadrant would the terminal side be?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

3.

What is the measure of the angle?

a)

-20o

b)

-70o

c)

-330o

d)

20o

4.

What is the measure of the angle?

a)

525o

b)

75o

c)

105o

d)

615o

5.

What is the measure of the angle?

a)

40o

b)

140o

c)

150o

d)

220o

6.

What is the measure of the angle?

a)

400o

b)

410o

c)

310o

d)

50o

7.

If you drew a 684o angle in standard position, where would the terminal side be?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

8.

If you drew a 405o angle in standard position, where would the terminal side lie?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

9.

If you are writing the expression for all the coterminal angles of a 45o and you write the expression 45 +360n, what must be said about n?

a)

n has to be a whole number.

b)

n has to be an integer.

c)

n has to be a real number.

d)

n has to be divisible be 2, 3, 4, 5, and 6

10.

What is the expression for all the coterminal angles in the diagram below? (assume n∈Z)

a)

360n + 20

b)

250+ 360n

c)

70 + 360n

d)

20n + 360

11.

What is the expression for all the coterminal angles in the diagram below? (assume n∈Z)

a)

110+ 360n

b)

70 + 360n

c)

360 + 110n

d)

-110 + 360n

12.

Convert 48o40' to decimal degrees.

(round to nearest thousandths)

a)

48.667o

b)

40.800o

c)

48.011o

d)

24.444o

13.

Convert −25o25'45" to decimal degrees.

(round to four decimal places)

a)

-25.4292o

b)

-25.7569o

c)

-25.5708o

d)

-26.1667o

14.

Convert 78.25o to degrees, minutes, and seconds.

a)

78⁰15'

b)

78⁰25'

c)

78⁰90'

d)

78⁰2'5"

15.

Convert 168.54⁰ to degrees, minutes, and seconds.

a)

168⁰32'24"

b)

168⁰30'3"

c)

168⁰24'32"

d)

168⁰9'15"