### Instruction: At 3:20, what is the measure in degrees of the lesser angle formed by the hour hand and the minute hand?### Response: I need to find the angle between the hour hand and the minute hand at 3:20.
I know that the hour hand moves 30 degrees every hour, and the minute hand moves 360 degrees every hour.
So, at 3:00, the hour hand is at 90 degrees, and the minute hand is at 0 degrees.
Then, in 20 minutes, the hour hand moves 20/60 * 30 = 10 degrees, so it is at 100 degrees.
And the minute hand moves 20/60 * 360 = 120 degrees, so it is at 120 degrees.
The difference between 120 and 100 is 20 degrees, so that is the measure of the lesser angle formed by the hour hand and the minute hand at 3:20.