We know to make a one complete cycle all the hands need to cover 360°; Now For solving it is useful to know some of the basic

a) Angle covered by the second hand in 1 second = 6°
This is because one complete cycle is 360° and the second hand takes 60 seconds to complete 360°; hence in 1 second it will cover = 360/60 = 6°

b) Angle covered by the minute hand in 1 minute = 6°

Similarly it takes 60 minutes by the minute hand to complete 360°; hence 1 min it will cover = 360/60 =6°

c) Angle covered by the hour hand in 1 hour = 30°

This is because it takes 12 hour by the hour hand to complete 360°; hence 1 hour it will cover = 360/12 =30°

d) Angle covered by the hour hand in 1 minute = 360°/720° = 1/2° =0.5°

Since it will take 720 minutes (12 hour * 60 minutes =720 minutes) to complete 360 degree, so in 1 minute the hour hand will cover = 360/720 = 0.5°

e) The minute and hour hands coincide 22 times in a day or 11 times in 12 hours

Now back to question:-
we are required to find the difference in angle between hour hand and minute hand from 12:35 to 12:36.

For this we have to convert hour to minutes, sinse the difference is of 1 minute

As we know
Angle covered by the minute hand in 1 minute =6°

and angle covered by hour hand in 1 minute = 360°/720° = 0.5°
So the difference of angle between hour hand and minute hand for 1 minute = 6° - 0.5° = 5.5°

Good explanation thanku

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