Find the angle between the minute hand and the hour hand of a clock when the time is 4 : 20.a)  0ºb)  5ºc)  10ºd)  20º

To find the angle between the hour and minute hand at 4:20, we need to calculate the positions of the hour and minute hands separately.

Step 1: Calculate the position of the hour hand At 4 o'clock, the hour hand is at 120 degrees from the 12 o'clock position (since each hour represents 30 degrees - 360 degrees/12 hours = 30 degrees per hour). However, since 20 minutes have passed, the hour hand will have moved further along. In 60 minutes, the hour hand moves 30 degrees, so in 20 minutes, it moves (20/60)*30 = 10 degrees. So, the total position of the hour hand is 120 degrees + 10 degrees = 130 degrees.

Step 2: Calculate the position of the minute hand The minute hand moves 360 degrees in 60 minutes. So, in 20 minutes, it moves (20/60)*360 = 120 degrees.

Step 3: Calculate the angle between the hour and minute hand Subtract the smaller angle from the larger angle. So, 130 degrees - 120 degrees = 10 degrees.

So, the angle between the hour and minute hand at 4:20 is 10 degrees. Therefore, the answer is c) 10º.