What is the angle between the two hands of a clock at 4:20?

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 4:20, the hour hand is pointing between the 4 and 5 on the clock.
   • To calculate the exact position, we need to consider that the hour hand moves 360 degrees in 12 hours, or 30 degrees per hour.
   • Since it is 4 hours past 12, the hour hand has moved 4 * 30 = 120 degrees.

2. The minute hand:

   • At 4:20, the minute hand is pointing at the 4 on the clock.
   • To calculate the exact position, we need to consider that the minute hand moves 360 degrees in 60 minutes, or 6 degrees per minute.
   • Since it is 20 minutes past the hour, the minute hand has moved 20 * 6 = 120 degrees.

3. Finding the angle:

   • The angle between the two hands is the difference between their positions.
   • In this case, the angle is 120 degrees (position of the hour hand) minus 120 degrees (position of the minute hand).
   • Therefore, the angle between the two hands of the clock at 4:20 is 0 degrees.

Please note that this answer assumes a standard 12-hour analog clock.