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Multiple Choice
Identify the reference angle of each given angle. 120°
A
30°
B
45°
C
60°
Verified step by step guidance
1
To find the reference angle for any given angle, first determine which quadrant the angle is in. Reference angles are always measured from the x-axis.
For an angle of 120°, it is in the second quadrant. The reference angle is found by subtracting the angle from 180°: Reference angle = 180° - 120°.
For an angle of 30°, it is in the first quadrant. The reference angle is the angle itself since it is already measured from the x-axis: Reference angle = 30°.
For an angle of 45°, it is also in the first quadrant. Similarly, the reference angle is the angle itself: Reference angle = 45°.
The reference angle is always positive and less than or equal to 90°. It represents the smallest angle between the terminal side of the given angle and the x-axis.