The hour hand turns 360 degrees in 12 hours i.e 720 minutes i.e 0.5 degrees in a minute.

 

The minute hand rotates 360 degrees in 60 minutes i.e 6 degrees in a minute.

 

So hour hand => 0.5 per minute =>1/2(60H + M)

Minute hand => 6 per minute => 6M

 

So for eg The time is 5:24 then,

angle of hr hand = 1/2(60*5+24) = 162

angle of minute hand = > 24*6 = 144

So the answer is 162-144 = 18

 

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