Find the Quadrant of the Angle 120

Problem

120

Solution

1. Identify the standard position of the angle. An angle in standard position has its vertex at the origin and its initial side along the positive xaxis.

2. Recall the degree ranges for each quadrant in a coordinate plane:

• Quadrant I: 0<θ<90

• Quadrant II: 90<θ<180

• Quadrant III: 180<θ<270

• Quadrant IV: 270<θ<360

3. Compare the given angle 120 to these ranges.

4. Determine that since 90<120<180 the terminal side of the angle lies in the second quadrant.

Final Answer

Quadrant of *120=Quadrant II

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