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 6:00, what is the degree measure of the angle formed moving CLOCKWISE? (1 point)
210 degrees
150 degrees
120 degrees
330 degrees

Answer 1

To find the degree measure of the angle formed when moving from the 11:00 position to the 6:00 position in a clockwise direction, we can follow these steps:

1. **Identify the positions and their degree values**:
- At 11:00, the position is equivalent to \( 11 \times 30 = 330 \) degrees.
- At 6:00, the position is equivalent to \( 6 \times 30 = 180 \) degrees.

2. **Calculate the angle moving clockwise from 11:00 to 6:00**:
- To find the angle moving clockwise from \( 330 \) degrees to \( 180 \) degrees, we can subtract:
\[
180 - 330 = -150 \text{ degrees}
\]
- Since angles can be represented in a positive manner by adding \( 360 \) degrees:
\[
-150 + 360 = 210 \text{ degrees}
\]

Thus, the degree measure of the angle formed moving clockwise from the position at 11:00 to the position at 6:00 is **210 degrees**.