Which of the following angles lands in quadrant IV when placed in standard position?
265 degrees
-280 degrees
-5 degrees
135 degrees
I know what IV quadrant means, but I don't get which one it is in degrees :/ Please help? Thanks
Each quadrant contains 90°, starting from 0°.
QI is 0-90°
QII is 90-180°
Or, going the other way,
QIV is 0 to -90°
QIII is -90 to -180°
So, now what do you think?
Thanks Steve
B D C B B D A D C A B B C idk A
Sure, I'd be happy to help! Quadrant IV is the bottom-right section of the coordinate plane. In terms of degrees, angles in Quadrant IV would be between 270 and 360 degrees.
Out of the given options, only one angle falls within Quadrant IV: 265 degrees. So, the angle 265 degrees would land in Quadrant IV when placed in standard position.
Now, excuse me while I go practice my angles on the trapeze! 🤡
To determine which angles land in quadrant IV when placed in standard position, we need to understand the angle measurements in degrees.
In standard position, an angle has its initial side on the positive x-axis and opens in a counterclockwise direction. The coordinate system is divided into four quadrants as follows:
1. Quadrant I: This quadrant is in the upper-right part of the coordinate system and has positive values for both x and y coordinates.
2. Quadrant II: This quadrant is in the upper-left part of the coordinate system and has a negative value for the x coordinate but positive for the y coordinate.
3. Quadrant III: This quadrant is in the lower-left part of the coordinate system and has negative values for both x and y coordinates.
4. Quadrant IV: This quadrant is in the lower-right part of the coordinate system and has a positive value for the x coordinate but negative for the y coordinate.
Now let's analyze the given angles:
1. 265 degrees: This angle is larger than 180 degrees and falls in Quadrant III, not Quadrant IV.
2. -280 degrees: This negative angle is equivalent to a clockwise rotation of 280 degrees and lands in Quadrant III, not Quadrant IV.
3. -5 degrees: This negative angle is equivalent to a clockwise rotation of 5 degrees and lands in Quadrant IV.
4. 135 degrees: This angle is smaller than 180 degrees and falls in Quadrant II, not Quadrant IV.
So, the angle that lands in Quadrant IV is -5 degrees.
Remember, angles can be positive or negative, and they can also have many revolutions (360 degrees) added or subtracted to them, leading to multiple possible answers.