Divide the dial into 60 squares, naturally each square is 360/60 = 6 degrees, the minute hand walks 60 squares an hour, and the hour hand walks 5 squares, so when the minute hand walks 1 square, the hour hand walks 5/60 =112 square, which is half of the minute hand.

1. How many degrees did the minute hand go from 1: 15 to 1: 50?

The minute hand moves 50- 15=35 squares, which is naturally 35×6=2 10 degrees, and the hour hand moves 35/ 12 squares, which is naturally 35/ 12× 6 = 17.5 degrees.

2.6: 10, what is the angle between the hour hand and the minute hand?

From 6 o'clock to 10, the minute hand moved 10 from 12, and naturally formed 10×6=60 degrees with 12, while the hour hand formed 65438 with 6 o'clock 12. So the position of 12 is 5/6× 6+ 180 = 185 degrees, so the difference between them is 185-60= 125 degrees.