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In what quadrant does the angle whose measure is 1,230° terminate?IIIVIIII

Question

In what quadrant does the angle whose measure is 1,230° terminate?IIIVIIII

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Solution

To determine the quadrant in which the angle terminates, we need to consider the measure of the angle.

1,230° is greater than 360°, which means it completes more than three full revolutions.

To find the equivalent angle within one revolution, we can subtract 360° from 1,230°.

1,230° - 360° = 870°

Now, we can determine the quadrant based on the remaining angle measure.

In the first quadrant, angles range from 0° to 90°. In the second quadrant, angles range from 90° to 180°. In the third quadrant, angles range from 180° to 270°. In the fourth quadrant, angles range from 270° to 360°.

Since 870° falls within the third quadrant, the angle whose measure is 1,230° terminates in the third quadrant.

This problem has been solved

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