Question

find the fraction and an angle made when an hour hand moves from 6 to 9​

Answer 1

Answer:

The angle measure between any two consecutive numbers on a clock is 36012=30∘.

Call the "12" point on the clock the zero-degree point.

At 4:45, the minute hand is at the "9" - that is, at the 30×9=270∘ mark. The hour hand is three-fourths of the way from the "4" to the "5; that is,

30×434=142.5∘ mark.

Therefore, the angle between the hands is

270−142.5=127.5∘, the desired measure.