Question

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? (1 point) -150 degrees 150 degrees

Explanation:

Step1: Determine the angle at 11:00

The angle at 11:00 is 300 degrees.

Step2: Determine the angle at 4:00

The angle at 4:00 is 120 degrees.

Step3: Calculate the difference

To find the angle formed by the rotation, we subtract the smaller angle from the larger one. $300 - 120= 180$ degrees. But if we consider the shortest - path rotation, we can also calculate it as follows. The number of intervals between 11 and 4 on a clock - like circle: There are 5 intervals. Since each interval represents 30 degrees (as $360\div12 = 30$ degrees per interval), the angle is $5\times30=150$ degrees.

Answer:

150 degrees