Final answer:
The 330° angle lies in the fourth quadrant (IV), 115° is in the second quadrant (II), and -210° is also in the second quadrant (II) when measured clockwise from the positive x-axis.
Step-by-step explanation:
To determine the quadrant in which the terminal side of a standard position angle is located, remember that angles are measured from the positive x-axis, moving counterclockwise for positive angles and clockwise for negative angles.
- For an angle of 330°, we start at the positive x-axis and move counterclockwise. Since 330° is between 270° and 360°, the terminal side lies in the fourth quadrant (D).
- An angle of 115° places the terminal side between 90° and 180°, which corresponds to the second quadrant (B).
- The angle of -210° is a negative angle, so we measure clockwise. Since it is the equivalent of a 150° positive angle (because -210° + 360° = 150°), the terminal side is in the second quadrant (B), opposite the third quadrant.
Thus, the answers are 330° in quadrant IV, 115° in quadrant II, and -210° in quadrant II.