359.905 degrees is the answer.
Explanation:
when it comes to the hour hand it moves about 360 degrees in a 12 hour clock for instance let us take the time 6:15 then the calculation is
=(6+15/60) * 360÷12
= 187.5 degrees.
when it comes to the minute hand the minute hand travels 360 degrees for every 60 minutes in a 12 hour clock so if it is 5 mins past in the time 6:05 then it can be given as
15/60 * 360 = 90 degrees
Difference between the two hand can be calculated by
(Angle turned by the hour hand) - (Angle turned by the minute hand)
For a smaller angle let us take 12:01
= (12+1/60) * 360÷12
=360.5
for the minute hand
=1/60 = 0.595
(Angle turned by the hour hand) - (Angle turned by the minute hand)
= 360.5 - 0.595
= 359.905 degrees