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?

Question

(1 point)
Responses

-150 degrees
-150 degrees

240 degrees
240 degrees

-240 degrees
-240 degrees

150 degrees

Answer 1

To determine the degree measure of the angle formed when the 11:00 marker rotates to the 4:00 marker, we need to calculate the position of these markers in degrees and then find the difference.

1. The position of the 11:00 marker is: \[ 11 \times 30 = 330 \text{ degrees} \]

2. The position of the 4:00 marker is: \[ 4 \times 30 = 120 \text{ degrees} \]

3. Now we find the difference between the two positions: \[ 120 \text{ degrees} - 330 \text{ degrees} = -210 \text{ degrees} \]

Since angles can be expressed in both positive and negative measures, we can also express -210 degrees in a positive equivalent by adding 360 degrees: \[ -210 + 360 = 150 \text{ degrees} \]

Thus, the angle formed when the 11:00 marker rotates to the position normally marked for 4:00 is 150 degrees.

Therefore, the correct answer is: 150 degrees.