document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449192>Question 449192</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the reference angle for -144 degrees. \r<BR>\n" );
document.write( "\n" );
document.write( "I'm coming up with 504 degrees, but I think I'm missing a step.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309046 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the reference angle for -144 degrees. <BR>\n" );
document.write( "I'm coming up with 504 degrees, but I think I'm missing a step. <BR>\n" );
document.write( "------<BR>\n" );
document.write( "The reference angle is ALWAYS an acute angle in the 1st Quadrant.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "504-360 = 144<BR>\n" );
document.write( "180-144 = 36<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The reference angle is 36 degrees.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "How to find the reference angle.<BR>\n" );
document.write( "Sketch 504 degrees on a unit circle.<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "You should find the terminal side <BR>\n" );
document.write( "is in the 2nd quadrant at 144 degrees.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Draw a vertical line segment from the<BR>\n" );
document.write( "point where the terminal side meets<BR>\n" );
document.write( "the circle down to the x-axis.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "The acute angle formed by the x-axis<BR>\n" );
document.write( "and the terminal side is the reference<BR>\n" );
document.write( "angle.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Note: This procedure will work for finding<BR>\n" );
document.write( "any reference angle.<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Example: Find reference for -105 degrees.<BR>\n" );
document.write( "1st: Sketch the angle.<BR>\n" );
document.write( "It's in the 3rd quadrant.<BR>\n" );
document.write( "Draw the vertical line up to the x-axis.<BR>\n" );
document.write( "The acute angle formed by the x-axis <BR>\n" );
document.write( "and the terminal side is 180-105 = 75 degrees.<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Reference of -144.<BR>\n" );
document.write( "-144 is 36 degrees away from the x-axis.<BR>\n" );
document.write( "Reference of -144 is 36 degrees.<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );