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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
Understand the concept of a reference angle: A reference angle is the acute angle (less than 90°) formed by the terminal side of the given angle and the x-axis. It is always positive and lies between 0° and 90°.
For 120°: Determine the quadrant in which the angle lies. Since 120° is between 90° and 180°, it lies in the second quadrant. Subtract the angle from 180° to find the reference angle: Reference angle = 180° - 120°.
For 30°: Since 30° is already an acute angle (less than 90°), the reference angle is the same as the given angle. Reference angle = 30°.
For 45°: Similarly, since 45° is also an acute angle, the reference angle is the same as the given angle. Reference angle = 45°.
Summarize the results: The reference angles for the given angles are as follows: 120° → 60°, 30° → 30°, and 45° → 45°.