Reference Angles, Coterminal angles, Standard Position, Coterminal and Reference Angles, Coterminal and Reference Angles

Quadrantal angle

- if the terminal side of an angle lies on the axis (like a 90 or 180 degree angle).

terminal side

- the ray that rotates in an angle in standard position.

24°

Name the reference angle for -156°

initial side

- the ray on the x-axis of an angle in standard position.

348°

Name a positive coterminal angle to -372°

280°

Name a positive coterminal angle to 1000°

35°

Name a positive coterminal angle to 395°

95°

Name a positive coterminal angle to 455°

55°

Name a positive coterminal angle to 775°

120°

Name a quadant 2 angle with reference of 60°

150°

Name a quadrant 2 angle with reference angle of 30°

135

Name a quadrant 2 angle with reference angle of 45°

225°

Name a quadrant 3 angle with reference angle 45°

210°

Name a quadrant 3 angle with reference angle of 30°

240°

Name a quadrant 3 angle with reference of 60°

330°

Name a quadrant 4 angle with reference angle of 30°

315°

Name a quadrant 4 angle with reference of 45°

38°

What is the reference angle for 322°?

59°

What is the reference angle for 59°?

1

What quadrant is -322°?

3

What quadrant is -510°?

4

What quadrant is 275°?

2

What quadrant is 510°?

reference angle

an acute angle formed by the terminal side of the given angle and the x-axis.

clockwise angle measurement

the measurement of the angle is negative

Counterclockwise angle measurement

the measurement of the angle is positive

coterminal angles

two angles that have the same terminal side.

300°

Name a quadrant 4 angle with reference of 60°

78°

Name the reference angle for -102°

40°

Name the reference angle for -400°

27°

Name the reference angle for 153°

16°

Name the reference angle for 16°

1°

Name the reference angle for 181°

53°

Name the reference angle for 233°

66°

Name the reference angle for 294°

15°

Name the reference angle for 885°

84°

Name the reference angle for 96°

50°

What is the reference angle for 230°?

60°

What is the reference angle for 240°?

standard position

- an angle is in standard postion if its vertex is located at the origin and one ray is on the positive x-axis.

260 degrees

Find an angle coterminal to -100 degrees

-250 degrees

Find an angle coterminal to 110 degrees

-200 degrees

Find an angle coterminal to 160 degrees

440 degrees

Find an angle coterminal to 80 degrees

80 degrees

Find the reference angle of 100 degrees

30 degrees

Find the reference angle of 210 degrees

60 degrees

Find the reference angle of 300 degrees

-95°

Name a negative angle coterminal to 265°

-10°

Name a negative coterminal angle to -370°

-437°

Name a negative coterminal angle to -77°

-237°

Name a negative coterminal angle to 123°

-265°

Name a negative coterminal angle to 455°

-305°

Name a negative coterminal angle to 775°

-283°

Name a negative coterminal angle to 77°

240°

Name a positive angle coterminal to -120°

77°

Name a positive coterminal angle to -283°

45°

What is reference angle for 225°?

80°

What is the reference angle for -100°?

75°

What is the reference angle for -285°?

55°

What is the reference angle for -55°?

70°

What is the reference angle for 110°?

35°

What is the reference angle for 145°?

20°

What is the reference angle for 200°?