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)

Question

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.