Find the Quadrant of the Angle 280

Problem

280^∘

Solution

1. Identify the standard ranges for each of the four quadrants in a coordinate plane.

2. Recall that Quadrant I is 0^∘<θ<90^∘ Quadrant II is 90^∘<θ<180^∘ Quadrant III is 180^∘<θ<270^∘ and Quadrant IV is 270^∘<θ<360^∘

3. Compare the given angle 280^∘ to these ranges.

4. Determine that since 270^∘<280^∘<360^∘ the angle lies in the fourth quadrant.

Final Answer

280^∘∈Quadrant IV

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