Answer :
In geometry, angles are typically measured in degrees, ranging from 0 to 360 degrees in a full circle. A negative angle measurement can occur when we move in the opposite direction to the standard rotation. Here's how you can recognize angles with negative values:
1. Counter-Clockwise Rotation: In standard practice, angles are measured in a counter-clockwise direction from the initial side to the terminal side. If you rotate clockwise instead of counter-clockwise, the angle measurement can be negative.
2. Terminal Side in Quadrant II or III: An angle in standard position with its terminal side in Quadrant II or III can have a negative measurement because it moves in the opposite direction to the positive x-axis.
3. Example: If we consider an angle α like the one in the provided diagram, where the initial side is on the positive x-axis and the terminal side moves in the clockwise direction, the measurement of α would be negative.
By understanding these concepts, you can identify angles with negative values based on their direction of rotation and position in the coordinate plane.
1. Counter-Clockwise Rotation: In standard practice, angles are measured in a counter-clockwise direction from the initial side to the terminal side. If you rotate clockwise instead of counter-clockwise, the angle measurement can be negative.
2. Terminal Side in Quadrant II or III: An angle in standard position with its terminal side in Quadrant II or III can have a negative measurement because it moves in the opposite direction to the positive x-axis.
3. Example: If we consider an angle α like the one in the provided diagram, where the initial side is on the positive x-axis and the terminal side moves in the clockwise direction, the measurement of α would be negative.
By understanding these concepts, you can identify angles with negative values based on their direction of rotation and position in the coordinate plane.
