Algebra-2

To determine the quadrant of an angle, we need to consider the sign of both the x and y coordinates. Here's a breakdown of each quadrant and the corresponding angle ranges:

Quadrant I: In this quadrant, both the x and y coordinates are positive. The angle ranges from 0° to 90°.
Quadrant II: In this quadrant, the x coordinate is negative, and the y coordinate is positive. The angle ranges from 90° to 180°.
Quadrant III: In this quadrant, both the x and y coordinates are negative. The angle ranges from 180° to 270°.
Quadrant IV: In this quadrant, the x coordinate is positive, and the y coordinate is negative. The angle ranges from 270° to 360° (or 0° to -90°).

In this case, we have an angle of -820°, because the angle is negative. To find its reference angle, we need to add multiples of 360° until we obtain an angle between 0° and 360°.

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