Find the Quadrant of the Angle 60 degrees

Problem

60

Solution

1. Identify the standard coordinate system for angles, where the positive x-axis represents 0 and angles increase in a counter-clockwise direction.

2. Recall the degree ranges for each of the four quadrants: 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 60 to these ranges.

4. Determine that since 0<60<90 the angle lies within the first quadrant.

Final Answer

Quadrant of *60=Quadrant I

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