Final answer:
To find a coterminal angle between 0° and 360° for –110°, one can add 360° to get 250°. This angle is in the third quadrant and is considered positive when measured counterclockwise from the positive x-axis.
Step-by-step explanation:
To determine the measure of an angle between 0° and 360° coterminal with an angle of –110° in standard position, we need to add or subtract multiples of 360° until the result is within the desired range. Since the angle is negative, we add 360° to –110° to find a positive coterminal angle.
Starting with –110° and adding 360° gives us:
–110° + 360° = 250°.
Thus, 250° is a coterminal angle of –110° that lies between 0° and 360°. It is important to note that angles are traditionally defined as positive when measured counterclockwise from the positive x-axis, and negative when measured clockwise.
This angle of 250° is in the third quadrant, which can be determined by knowing that angles between 180° and 270° fall into this quadrant. This knowledge is useful in various applications, including vector analysis and navigation using bearings.