Question: Place the angle below in the correct quadrant.
$120^\circ$
Answer
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
1. The problem asks to determine the quadrant in which the angle $120^\circ$ lies.
2. Recall the quadrant rules for angles measured in degrees from the positive x-axis:
- Quadrant I: $0^\circ < \theta < 90^\circ$
- Quadrant II: $90^\circ < \theta < 180^\circ$
- Quadrant III: $180^\circ < \theta < 270^\circ$
- Quadrant IV: $270^\circ < \theta < 360^\circ$
3. Since $120^\circ$ satisfies $90^\circ < 120^\circ < 180^\circ$, it lies in Quadrant II.
4. Therefore, the angle $120^\circ$ is in **Quadrant II**.