Find the Quadrant of the Angle -225 degrees

Problem

−225

Solution

1. Find a coterminal angle by adding 360 to the given negative angle to find its equivalent position between 0 and 360

−225+360=135

2. Identify the quadrant boundaries in the standard coordinate system where Quadrant I is 0<θ<90 Quadrant II is 90<θ<180 Quadrant III is 180<θ<270 and Quadrant IV is 270<θ<360

3. Compare the angle to the boundaries. Since 135 is greater than 90 and less than 180 it lies in the second quadrant.

90<135<180

Final Answer

Quadrant of −225=Quadrant II

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