Find the Quadrant of the Angle -240

Problem

−240

Solution

1. Find a coterminal angle by adding 360 to the given negative angle to find its equivalent position between 0 and 360

−240+360=120

2. Identify the quadrant boundaries for standard position angles.

Quadrant I:0<θ<90

Quadrant II:90<θ<180

Quadrant III:180<θ<270

Quadrant IV:270<θ<360

3. Compare the angle to the boundaries. Since 120 is between 90 and 180 the angle lies in the second quadrant.

90<120<180

Final Answer

−240⇒Quadrant II

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