Final answer:
To find a positive angle coterminal with -988°, add 360° repeatedly until getting a positive result within 360°. The angle 92° is coterminal with -988°.
Step-by-step explanation:
To find a positive angle less than 360° that is coterminal with the given angle -988°, we can add or subtract multiples of 360° (the total degrees in a circle) until we get a positive angle within the specified range. Since angles measuring 360° apart are coterminal, we add 360° repeatedly to -988°.
Adding 360° three times gives us:
- -988° + 360° = -628°
- -628° + 360° = -268°
- -268° + 360° = 92°
Therefore, 92° is a positive angle less than 360° that is coterminal with -988°.