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A positive or negative angle, refers to the directionthat you are measuring the angle. Not really useful in Geometry, where you're measuring angles of polygons, but in Trigonometry and Complex Numbers (especially signal analysis in Electrical Engineering) it becomes important.

In a unit circle, the convention is to measure positive angles in a counterclockwise direction starting at the positive x-axis. So negative angles are measured moving in a clockwise direction. In signal analysis, two sine waves are plotted with time on the horizontal, and intensity on the vertical. The sign of the 'angle' between the two signals represents if one signal is 'leading' ahead or 'lagging' behind the other signal.

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