Question

Find the measure of angles formed between the minute hand and hour hand of the clock at 2.30 P.M. ?

Answer 1

Hours hand moves 360 deg in 12 hours
         so  30 degrees in 1 hour
         so  15 deg in 1/2 hour
Hours hand moves  30 + 30 + 15 deg = 75 deg in  2 hours and a half.


Minutes hand  moves 360 / 2 = 180 degrees from number 12,  in 30 minutes.

The angle between them  is  180 - 75 = 105 degrees.

Answer 2

WE CAN DO IT IN ANOTHER WAY ALSO 
      I 30*H - 11/2*M I       [ I....I  THIS IS CALLED MODULUS SYMBOL ]
=>  I 30*2 - 11/2*30 I       [ SINCE THE TIME IS 2.30 => H=2 AND M=30 ]
=>  I 60 - 11*15 I
=>  I 60 - 165 I
=>  I -105 I
=>  105
HOPE THIS HELPS U