Reference and Coterminal Angles

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Name an angle -360⁰≤θ≤0⁰ coterminal to -370°

-10°

Name an angle -360⁰≤θ≤0⁰ coterminal to 160 degrees

-200°

Name an angle -360⁰≤θ≤0⁰ coterminal to 123°

-237°

Name an angle -360⁰≤θ≤0⁰ coterminal to 110 degrees

-250°

Name an angle -360⁰≤θ≤0⁰ coterminal to 455°

-265°

Name an angle -360⁰≤θ≤0⁰ coterminal to 77°

-283°

Name an angle -360⁰≤θ≤0⁰ coterminal to 775°

-305°

Name an angle -720⁰≤θ≤-360⁰ coterminal to -77°

-437°

Name an angle 0⁰≤θ≤360⁰ coterminal to 265°

-95°

What quadrant is -322°?

1

Name a quadant 2 angle with reference of 60°

120°

Name a quadrant 2 angle with reference angle of 45°

135

Name a quadrant 2 angle with reference angle of 30°

150°

Name the reference angle for 885°

15°

Name the reference angle for 16°

16°

Name the reference angle for 181°

What quadrant is 510°?

2

What is the reference angle for 200°?

20°

Name a quadrant 3 angle with reference angle of 30°

210°

Name a quadrant 3 angle with reference angle 45°

225°

Name an angle 0⁰≤θ≤360⁰ coterminal to -120°

240°

Name the reference angle for -156°

24°

Name an angle 0⁰≤θ≤360⁰ coterminal to -100 degrees

260°

Name the reference angle for 153°

27°

Name an angle 0⁰≤θ≤360⁰ coterminal to 1000°

280°

What quadrant is -510°?

3

Name a quadrant 4 angle with reference of 60°

300°

Find the reference angle of 210 degrees

30°

Name a quadrant 4 angle with reference of 45°

315°

Name a quadrant 4 angle with reference angle of 30°

330°

Name an angle 0⁰≤θ≤360⁰ coterminal to -372°

348°

What is the reference angle for 145°?

35°

What is the reference angle for 322°?

38°

What quadrant is 275°?

4

Name the reference angle for -400°

40°

Name an angle 360⁰≤θ≤720⁰ coterminal to 80 degrees

440°

What is reference angle for 225°?

45°

What is the reference angle for 230°?

50°

Name the reference angle for 233°

53°

Name an angle 0⁰≤θ≤360⁰ coterminal to 775°

55°

What is the reference angle for 59°?

59°

What is the reference angle for 240°?

60°

Name the reference angle for 294°

66°

What is the reference angle for 110°?

70°

What is the reference angle for -285°?

75°

Name an angle 0⁰≤θ≤360⁰ coterminal to -283°

77°

Name the reference angle for -102°

78°

What is the reference angle for -100°?

80°

Name the reference angle for 96°

84°

Name an angle 0⁰≤θ≤360⁰ coterminal to 455°

95°

the measurement of the angle is positive

Counterclockwise angle measurement

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

Quadrantal angle

the measurement of the angle is negative

clockwise angle measurement

two angles that have the same terminal side.

coterminal angles

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

initial side

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

reference angle

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

standard position

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

terminal side


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