Find the Quadrant of the Angle 225 degrees

Problem

225

Solution

1. Identify the standard ranges for each quadrant in a coordinate system where 0≤θ<360

2. Recall that 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 given angle 225 to these ranges.

4. Determine that since 180<225<270 the angle lies in the third quadrant.

Final Answer

Quadrant of *225=Quadrant III

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