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

-240 degrees
-240 degrees

-150 degrees
-150 degrees

150 degrees
150 degrees

240 degrees
240 degrees

Answer 1

To find the degree measure of the angle formed when the 11:00 marker (which is at 330 degrees) rotates to the 4:00 marker (which is at 120 degrees), we can calculate the difference between the two angles.

1. The angle at 11:00 is calculated as follows: \( 11 \times 30 = 330 \) degrees.

2. The angle at 4:00 is calculated as follows: \( 4 \times 30 = 120 \) degrees.

3. Now, to find the angle formed when the marker rotates, we subtract the angle at 4:00 from the angle at 11:00: \( 120 - 330 = -210 \) degrees.

Since angles are typically measured in the positive direction, we can add 360 degrees to get a positive angle: \( -210 + 360 = 150 \) degrees.

Thus, the degree measure of the angle formed is 150 degrees.

The correct response is: 150 degrees.