document.write( "Question 1064458: What is the reference angle for an angle with a measure of -405 degrees? \n" ); document.write( "

Algebra.Com's Answer #679522 by Theo(13342) $\"\"$ $\"About$

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the angle is -405 degrees.
\n" ); document.write( "the reference angle would be the equivalent angle in the first quadrant.
\n" ); document.write( "keep adding 360 to the angle until it becomes positive and is between 0 and 360 degrees.
\n" ); document.write( "-405 + 360 = -45 degrees.
\n" ); document.write( "-45 degrees + 360 = 315 degrees.
\n" ); document.write( "that's the equivalent positive angle that is between 0 and 360 degrees.
\n" ); document.write( "that angle is in the fourth quadrant.
\n" ); document.write( "the equivalent angle in the first quadrant is equal to 360 - 315 degrees which is equal to 45 degrees.
\n" ); document.write( "if you knew that a negative angle in the fourth quadrant is the same as a positive angle in the first quadrant, you could have just said that, since the angle is -45 in the fourth quadrant, then it has to be 45 degrees in the first quadrant.
\n" ); document.write( "if you didn't know that, then the procedure described above will get you the correct answer.\r
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