$ ext{In which quadrant of the unit circle is the angle } 135^circ ext{ located?}$

To determine the quadrant of the angle 135 degrees, we need to understand how the unit circle is divided:

– Quadrant I:

txt1

txt1

txt1

^\circ$ to $90^\circ$

– Quadrant II: $90^\circ$ to $180^\circ$

– Quadrant III: $180^\circ$ to $270^\circ$

– Quadrant IV: $270^\circ$ to $360^\circ$

Since $135^\circ$ falls between $90^\circ$ and $180^\circ$, it is located in Quadrant II.

$\text{Answer: Quadrant II}$

First, let’s identify the ranges of angles for each quadrant of the unit circle:

– Quadrant I:

txt2

txt2

txt2

^circ ext{ to } 90^circ$

– Quadrant II: $90^circ ext{ to } 180^circ$

– Quadrant III: $180^circ ext{ to } 270^circ$

– Quadrant IV: $270^circ ext{ to } 360^circ$

The angle $135^circ$ is greater than $90^circ$ and less than $180^circ$. Therefore, it lies in Quadrant II.

$ ext{Answer: Quadrant II}$

We know the ranges for each quadrant:

– Quadrant I:

txt3

txt3

txt3

^circ$ to $90^circ$

– Quadrant II: $90^circ$ to $180^circ$

– Quadrant III: $180^circ$ to $270^circ$

– Quadrant IV: $270^circ$ to $360^circ$

Since $135^circ$ is between $90^circ$ and $180^circ$, it is in Quadrant II.

$ ext{Answer: Quadrant II}$

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