A circle measures 360 degrees. If this circle were marked with numbers like a clock, every number would represent 30 degrees farther from 0 and closer to 360 degrees. If an angle marker typically found at 11:00 were to rotate to the place normally marked for 4:00, what is the degree measure of the angle formed moving clockwise?

Question

(1 point)
Responses

240 degrees
240 degrees

330 degrees
330 degrees

120 degrees
120 degrees

150 degrees

Answer 1

To determine the degree measure of the angle formed when the marker at 11:00 rotates to the position of 4:00, we first need to know the degree measures corresponding to those times:

• 11:00 is at \( 11 \times 30 = 330 \) degrees.
• 4:00 is at \( 4 \times 30 = 120 \) degrees.

Next, we calculate the clockwise angle from 11:00 (330 degrees) to 4:00 (120 degrees). Since the angle wraps around at 360 degrees, we can proceed as follows:

Starting from 330 degrees and moving clockwise to 120 degrees:

1. From 330 degrees to 360 degrees is \( 360 - 330 = 30 \) degrees.
2. Then, moving from 360 degrees to 120 degrees is \( 120 \) degrees.

Now, we add those two parts together: \[ 30 + 120 = 150 \]

Therefore, the degree measure of the angle formed moving clockwise from 11:00 to 4:00 is \( \boxed{150 \text{ degrees}} \).