Question

use the image to answer the 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 moving clockwise? (1 point) 120 degrees 240 degrees 150 degrees 300 degrees

Explanation:

Step1: Identify the starting and ending positions

The starting position is 11:00 (300°) and the ending position is 4:00 (120°).

Step2: Calculate the angle difference

We want the clock - wise angle. So we subtract the ending angle from the starting angle. Let $\theta$ be the angle measure. $\theta=300 - 120$.
$\theta = 180$ degrees. But we can also calculate it in terms of the number of "clock - positions". The number of positions from 11 to 4 (clockwise) is 5 positions. Since each position represents 30 degrees, the angle is $5\times30=150$ degrees.

Answer:

150 degrees