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

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.
   • Since 20 minutes have passed since 4:00, the hour hand will have moved a fraction of the distance between the 4 and the 5.
   • To calculate this fraction, we divide 20 by 60 (the total number of minutes in an hour), which gives us 1/3.
   • Therefore, the hour hand will be 1/3 of the way between the 4 and the 5.

2. The minute hand:

   • At 20 minutes past the hour, the minute hand will be pointing directly at the 4 on the clock face.

3. Calculating the angle:

   • The angle between the hour and minute hands can be found by subtracting the position of the hour hand from the position of the minute hand.
   • Since the hour hand is 1/3 of the way between the 4 and the 5, and the minute hand is pointing directly at the 4, we subtract 1/3 from 4.
   • This gives us 4 - 1/3 = 11/3.

4. Converting the fraction to degrees:

   • To convert the fraction 11/3 to degrees, we multiply it by 30 (since there are 30 degrees between each hour mark on a clock face).
   • 11/3 * 30 = 110/3 ≈ 36.67°.

Therefore, the angle between the two hands of a clock at 4:20 is approximately 36.67°.