Final answer:
The angle shown when it is 4:00 p.m. on a clock is 120 degrees.
Step-by-step explanation:
The angle shown when it is 4:00 p.m. on a clock is 120 degrees.
To find the angle, we first need to determine the positions of the hour and minute hands.
The hour hand moves 30 degrees for every hour, so at 4:00 p.m., it would be at the 2 o'clock position (4 hours * 30 degrees = 120 degrees).
The minute hand moves 6 degrees for every minute, so at 4:00 p.m., it would be at the 12 o'clock position.
The angle between the hour and minute hands is then determined by subtracting the position of the hour hand from the position of the minute hand, which gives us 360 degrees - 120 degrees = 240 degrees.