Find the Quadrant of the Angle 135 degrees

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 must lie in the second quadrant.

Final Answer

135^∘∈Quadrant II

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