Question Video: Determining in Which Quadrant a given Angle Lies Mathematics • 10th Grade

In which quadrant does the angle 288° lie?


Video Transcript

In which quadrant does the angle 288 degrees lie?

When we think about the four quadrants of the coordinate grid and label them one through four, we know that the initial side measures zero degrees. And then each additional quadrant is 90 more degrees. And then a full rotation is 360. When we measure angles in coordinate grids, we begin at the 𝑥-axis and proceed in a counterclockwise measure if we’re dealing with a positive angle. And for us, that means we’ll go from the initial side, just past 270, since we know that 288 falls between 270 and 360. And we see that this angle is in the fourth quadrant.

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