To find a coterminal angle with a measure between 0° and 360° that is coterminal with a given angle, we need to add or subtract multiples of 360° until the angle falls within the desired range.
Given the angle -620°, we want to add 360° repeatedly until the result is between 0° and 360°. Here are the steps:
1. Start with the angle: -620°
2. Add 360°: -620° + 360° = -260° (The angle is still negative, so we need to add 360° again)
3. Add another 360°: -260° + 360° = 100°
Now, the angle 100° is positive and falls between the range of 0° and 360°. Therefore, 100° is a coterminal angle of -620° within the required range. Thus, the measure of angle M is 100°.
