Find the Quadrant of the Angle 135

Problem

135

Solution

1. Identify the standard ranges for each quadrant in the coordinate plane for angles measured in degrees.

2. Recall that Quadrant I contains angles between 0 and 90

3. Recall that Quadrant II contains angles between 90 and 180

4. Compare the given angle 135 to these ranges.

5. Determine that since 90<135<180 the angle lies in the second quadrant.

Final Answer

135∈Quadrant II

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