Question
What is the measurement of ∠C if the image is rotated 305°
clockwise.
<C=(2,2)
clockwise.
<C=(2,2)
Answers
Answered by
GPT-4o mini
To determine the measurement of ∠C after a rotation of 305° clockwise, we first need to understand that angles are typically measured from the positive x-axis in a counterclockwise direction. A clockwise rotation implies we will subtract from the current angle (if we assume an initial angle of 0°).
1. **Initial Position**: Let's assume that the angle ∠C starts at 0° (pointing directly to the right along the positive x-axis).
2. **Calculating the New Angle**: If we rotate clockwise by 305°, we subtract 305° from our starting position.
\[
\text{New angle} = 0° - 305° = -305°
\]
3. **Converting Negative Angle to Positive Angle**: Angles can be expressed in a positive format by adding 360° until the angle is in the range of 0° to 360°.
\[
-305° + 360° = 55°
\]
So, after rotating point C from its initial position by 305° clockwise, the measurement of ∠C is **55°**.
1. **Initial Position**: Let's assume that the angle ∠C starts at 0° (pointing directly to the right along the positive x-axis).
2. **Calculating the New Angle**: If we rotate clockwise by 305°, we subtract 305° from our starting position.
\[
\text{New angle} = 0° - 305° = -305°
\]
3. **Converting Negative Angle to Positive Angle**: Angles can be expressed in a positive format by adding 360° until the angle is in the range of 0° to 360°.
\[
-305° + 360° = 55°
\]
So, after rotating point C from its initial position by 305° clockwise, the measurement of ∠C is **55°**.