SOLUTION: When drawing angles in standard position, how do you know to stop because you have reached the correct point? For example, if you were drawing the following angle: -3pi/7, how

Question 960161: When drawing angles in standard position, how do you know to stop because you have reached the correct point? For example, if you were drawing the following angle: -3pi/7, how do you know what degree to stop at? I can draw the degrees, but the pi's throw me for a loop. Thanks!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
In trig working with degrees, pi is 180 degrees, therefore
-3pi/7 = (-3*180) / 7 = -540 / 7 = -77.142857143 degrees
counter clockwise are positive angles and clockwise are negative angles
the related angle to -77.142857143 is (360 - 77.142857143) = 282.857142857 degrees
note that the angles 282.857142857 degrees and -77.142857143 degrees are in the fourth quadrant.

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