Find the Quadrant of the Angle -30 degrees

Problem

−30

Solution

1. Identify the direction of the angle. Since the angle is negative, it is measured clockwise from the positive x-axis.

2. Determine the range for each quadrant in the clockwise direction. The fourth quadrant corresponds to angles between 0 and −90

3. Compare the given angle to the quadrant boundaries. Since −90<−30<0 the angle lies in the fourth quadrant.

4. Alternatively, find the coterminal angle by adding 360

−30+360=330

5. Locate the coterminal angle. An angle of 330 is between 270 and 360 which is the fourth quadrant.

Final Answer

−30* is in Quadrant IV

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