Identify the reference angle of each given angle.
210°

• A. 30°
• B. 45°
• C. 60°

Answer: (A)

Verified step by step guidance

1. Convert the given angle (210°) into its reference angle by determining its position in the unit circle. Reference angles are always measured relative to the x-axis and are positive.
2. Identify the quadrant in which the angle 210° lies. Since 210° is greater than 180° but less than 270°, it lies in the third quadrant.
3. In the third quadrant, the reference angle is calculated by subtracting 180° from the given angle. Use the formula: Reference Angle = Angle - 180°.
4. Substitute the given angle (210°) into the formula: Reference Angle = 210° - 180°.
5. Simplify the expression to find the reference angle. The result will be a positive acute angle, which is the reference angle for 210°.