What is the angle between the two hands of a clock at 4:20?          a.0°    b.5°    c.10°  d.20

To find the angle between the two hands of a clock at 4:20, we need to determine the positions of the hour and minute hands.

1. The hour hand:

   • At 4:00, the hour hand points directly at the 4 on the clock face.
   • From 4:00 to 4:20, the hour hand moves a fraction of the way between the 4 and the 5.
   • Since there are 12 hours on a clock face, each hour mark represents 30 degrees (360 degrees divided by 12).
   • Therefore, from 4:00 to 4:20, the hour hand moves (1/3) * 30 degrees = 10 degrees.

2. The minute hand:

   • At 20 minutes past the hour, the minute hand points directly at the 4 on the clock face.
   • Since there are 60 minutes in an hour, each minute mark represents 6 degrees (360 degrees divided by 60).
   • Therefore, at 20 minutes past the hour, the minute hand moves 20 * 6 degrees = 120 degrees.

3. The angle between the two hands:

   • To find the angle between the hour and minute hands, we subtract the smaller angle from the larger angle.
   • In this case, the hour hand has moved 10 degrees and the minute hand has moved 120 degrees.
   • The angle between the two hands is 120 degrees - 10 degrees = 110 degrees.

Therefore, the angle between the two hands of a clock at 4:20 is 110 degrees.