We want to find here angle between minute hand and hour hand at 6 : 15
Hour hand covers 30º in 60 minute. Then in 15 minute it covers = 7.5º So angle between both hand at 6 : 15 is 90º + 7.5 = 97.5º Another angle is 360º – 97.5º = 262.5º Hence difference is 262.5º – 97.5º = 165º