In which quadrant does the terminal side of the angle with measure -245 degree lie?
Quadrant I
Quadrant IV
Quadrant III
Quadrant II None
Between 0° and 90° - I
90°-180° - II
180°-270° - III
270°-360° - IV
quadrant-iii
Do you like have a graph or something
is the graph quesition
To determine the quadrant in which the terminal side of an angle lies, you need to consider the angle's measure and its relationship to the x and y-axes.
In this case, the angle has a measure of -245 degrees. To find the equivalent positive angle, you can add 360 degrees to -245 degrees:
-245 degrees + 360 degrees = 115 degrees.
Now that we have the positive equivalent angle, we can determine the quadrant.
In Quadrant I, both the x and y-coordinates are positive.
In Quadrant II, the x-coordinate is negative, but the y-coordinate is positive.
In Quadrant III, both the x and y-coordinates are negative.
In Quadrant IV, the x-coordinate is positive, but the y-coordinate is negative.
Since the angle with a measure of 115 degrees lies in Quadrant II (x-coordinate negative, y-coordinate positive), the terminal side of the angle with a measure of -245 degrees also lies in Quadrant II.