To determine the degree measure of the angle formed when the angle marker at 11:00 rotates to the position normally marked for 4:00, we first need to find the degree representations for both of these positions.
Each hour on a clock represents 30 degrees since \(360 \text{ degrees} / 12 \text{ hours} = 30 \text{ degrees per hour}\).
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The position for 11:00 is calculated as: \[ 11 \times 30 = 330 \text{ degrees} \]
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The position for 4:00 is calculated as: \[ 4 \times 30 = 120 \text{ degrees} \]
Now, we find the angle formed when moving from the 11:00 position (330 degrees) to the 4:00 position (120 degrees).
- To determine the angle in the standard positive direction (counterclockwise), we subtract: \[ 120 - 330 = -210 \text{ degrees} \] Since angles are often represented in positive values, we can convert this negative angle into a positive one by adding 360 degrees: \[ -210 + 360 = 150 \text{ degrees} \]
Thus, the measure of the angle formed when the angle marker at 11:00 rotates to the position for 4:00 is 150 degrees.
The correct answer is:
- 150 degrees