document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058070>Question 1058070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pair of congruent angles are described as follows the degree measures of one angle is three more than twice a number and the other angles degree measures is 54.5 less than three times the number determine the measures of the angles in degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673179 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the number.\r<BR>\n" );
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document.write( "The measure of the first angle is then 2x + 3.\r<BR>\n" );
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document.write( "The measure of the second angle is 3x - 54.5.\r<BR>\n" );
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document.write( "Since the two angles are congruent, their measures must be equal, which gives:\r<BR>\n" );
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document.write( "3x - 54.5 = 2x + 3\r<BR>\n" );
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document.write( "3x - 2x - 54.5 = 3\r<BR>\n" );
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document.write( "x - 54.5 = 3\r<BR>\n" );
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document.write( "x = 3 + 54.5\r<BR>\n" );
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document.write( "x = 57.5\r<BR>\n" );
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document.write( "The measures of the two angles are then:\r<BR>\n" );
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document.write( "First angle = 2(57.5) + 3 = 118 degrees\r<BR>\n" );
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document.write( "Second angle (as a check) = 3(57.5) - 54.5 = 118 degrees\r<BR>\n" );
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document.write( "Solution: The angles each measure 118 degrees. </SPAN>\n" );
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