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
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.
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