Find the Quadrant of the Angle 150 degrees

Problem

150^∘

Solution

1. Identify the standard position of an angle, where the initial side lies along the positive x-axis and the vertex is at the origin.

2. Compare the given angle to the boundary angles of the four quadrants in a coordinate plane.

3. Recall that Quadrant I contains angles between 0^∘ and 90^∘ and Quadrant II contains angles between 90^∘ and 180^∘

4. Determine that since 90^∘<150^∘<180^∘ the terminal side of the angle lies in the second quadrant.

Final Answer

Quadrant of *150^∘=Quadrant II

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