Final answer:
The degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon is 75 degrees.
Step-by-step explanation:
The angle between the hour hand and the minute hand of a clock can be calculated using the formula:
Angle = |30h - 11/2m|
- h represents the hour hand position
- m represents the minute hand position
In this case, at 5:00 in the afternoon, the hour hand is at 5 and the minute hand is at 12. Plugging in these values into the formula, we get:
Angle = |30(5) - 11/2(12)| = 75 degrees
Therefore, the degree measure of the angle formed by the hands of a clock at 5:00 in the afternoon is 75 degrees.