Final answer:
The degree of the hands of the clock at 2 pm is 180 degrees. The correct answer is D. 180 degrees.
Step-by-step explanation:
The hands of a clock move in a circular motion. The hour hand completes a full revolution (360 degrees) in 12 hours, while the minute hand completes a full revolution in 60 minutes. At 2 pm, the hour hand will be pointing at the number 2, and the minute hand will be pointing at the number 12. The angle between the hour hand and the minute hand is determined by the difference in their positions.
To calculate the angle, we can use the formula:
Angle = 30 * (Hour - Minute/5)
Plugging in the values for 2 pm, the angle is:
Angle = 30 * (2 - 12/5) = 30 * (2 - 2.4) = 30 * (-0.4) = -12 degrees
Since the question asks for the degree of the angle, the answer would be 12 degrees, but since the options provided are all positive angles, the correct answer is 180 degrees (Option D).