Taking 7: 55 as an example, this paper introduces the calculation method of the angle between the hour hand and the minute hand (regardless of the angle greater than 180).

Knowledge preparation:

(1) An ordinary clock is equivalent to a circle, and its hour hand or minute hand is equivalent to passing 360;

(2) The angle corresponding to each big square on the clock (hour hand or five minutes minute hand) is:

360 / 12=30? ;

(3) The angle of the hour hand every 1 min should be: 360? /( 12x 60)= 0.5；

(4) The corresponding angle of minute hand every 1 min should be: 360/60 = 6? ? .

Take the hour hand and minute hand at 12 as the calculation starting point.

Since the minute hand is in front of the hour hand, we can first calculate the angle that the minute hand passes through, and then subtract the angle that the hour hand passes through, and we can get the degree of the included angle between the hour hand and the minute hand.

The angle of the minute hand is 55× 6 = 330.

The angle passed by the hour hand is 7x30 +55x0.5 = 237.5.

The included angle between the hour hand and the minute hand is 330-237.5 = 92.5.