Question Video: Identifying the Quadrant in which an Angle Lies | Nagwa Question Video: Identifying the Quadrant in which an Angle Lies | Nagwa

Question Video: Identifying the Quadrant in which an Angle Lies Mathematics • First Year of Secondary School

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True or False: The angle 75° lies in the first quadrant.

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Video Transcript

True or false: The angle 75 degrees lies in the first quadrant.

We can begin thinking about this question by sketching the 𝑥𝑦-coordinate plane. The initial side of our angle lies on the positive 𝑥-axis. And we consider the counterclockwise direction to be positive. We can then add the measurements 90 degrees, 180 degrees, 270 degrees, and 360 degrees to our diagram. The four quarters of our diagram are known as quadrants one, two, three, and four, as shown. Since 75 degrees is less than 90 degrees, it lies in the first quadrant.

We can therefore conclude that the statement is true. The angle 75 degrees does lie in the first quadrant.

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