Reference and Coterminal Angles
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°
1°
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
