Find the Quadrant of the Angle 320 degrees

Problem

320^∘

Solution

1. Identify the standard ranges for each of the four quadrants in a coordinate system where angles are measured counter-clockwise from the positive x-axis.

2. Recall that Quadrant I contains angles between 0^∘ and 90^∘

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

4. Recall that Quadrant III contains angles between 180^∘ and 270^∘

5. Recall that Quadrant IV contains angles between 270^∘ and 360^∘

6. Compare the given angle 320^∘ to these ranges. Since 270^∘<320^∘<360^∘ the angle lies in the fourth quadrant.

Final Answer

Quadrant of *320^∘=Quadrant IV

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