Find the Quadrant of the Angle 150

Problem

150

Solution

1. Identify the standard position of the angle. An angle in standard position starts at the positive x-axis (0 and rotates counter-clockwise.

2. Compare the given angle to the boundary angles of the four quadrants.

3. Recall the degree ranges for each quadrant:

   • Quadrant I: 0<θ<90

   • Quadrant II: 90<θ<180

   • Quadrant III: 180<θ<270

   • Quadrant IV: 270<θ<360

4. Determine the location of 150 by checking which range it falls into. Since 90<150<180 the angle lies in the second quadrant.

Final Answer

150∈Quadrant II

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