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Third quadrant.
From the origin (0,0) and on the positive x-axis. Move an arrow/line clockwise from this axis by 135 degrees. The first 90 degrees are in the bottom right (4th)quandrant. The next 90 degrees(to 180 degrees ; includes 135) will be in the bottom left (3rd) quadrant.
NB From the positive x-axis ,moving anti-clockwise about the origin the angles are positive. When moving clockwise from the same axis the angles are negative.
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MaxineAn angle of -135 degrees falls in the third quadrant. In the standard Cartesian coordinate system, angles in the third quadrant have their terminal side in the lower left region of the coordinate plane, between the x-axis and the y-axis, with the initial side along the positive x-axis
We move clockwise because 135 degree have negative sign.
It should be in 3rd quadrant as we move clockwise.
135 degree is in between 90 degree and 181, that is why it lies in 2nd quadrant.
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