Correct option is B
To determine the difference in the central angles related to sleep and play, we first need to calculate the central angles for each activity. The central angle for each activity is proportional to the time spent on that activity.
Total time = 24 hours
Sleep: 7 hours * (360°/24 hours) = 105°
School: 6 hours * (360°/24 hours) = 90°
Play: 2 hours * (360°/24 hours) = 30°
Watching TV: 2 hours * (360°/24 hours) = 30°
Others: 7 hours * (360°/24 hours) = 105°
Now, we can calculate the difference in the central angles related to sleep and play:
Difference = Central angle for sleep - Central angle for play
= 105° - 30°
= 75°
Therefore, the difference in the central angles related to sleep and play is 75°.