Identify the reference angle of each given angle.
210°

• A. 30°
• B. 45°
• C. 60°

Answer: (A)

Verified step by step guidance

1. Understand the concept of a reference angle: A reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis. It is always positive and less than or equal to 90°.
2. For the angle 210°, first determine which quadrant it is in. Since 210° is greater than 180° and less than 270°, it is in the third quadrant.
3. To find the reference angle for an angle in the third quadrant, subtract 180° from the given angle. So, for 210°, calculate 210° - 180°.
4. For the angle 45°, since it is already less than 90°, it is in the first quadrant. The reference angle for any angle in the first quadrant is the angle itself, so the reference angle is 45°.
5. For the angle 60°, it is also in the first quadrant as it is less than 90°. Therefore, the reference angle is the angle itself, which is 60°.