Find the Quadrant of the Angle 240 degrees

Problem

240

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 240 to these ranges.

4. Determine that since 180<240<270 the angle lies in the third quadrant.

Final Answer

Quadrant of *240=Quadrant III

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