document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=508883>Question 508883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: <3 and <2 are complementary; m<1 + m<2 = 90 degrees\r<BR>\n" );
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document.write( "Prove: <1 is congruent to <3\r<BR>\n" );
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document.write( "(With reasons) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341155 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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/cgi-bin/show-face.mpl?user=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Proof:\r<BR>\n" );
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document.write( "By definition, if m<2 and m<3 are complementary, then  m<2 + m<3 = 90.  Also since we are given m<1 + m<2 = 90, then it follows that m<1 + m<2 =  m<2 + m<3.  Then if we subtract m<2 from both sides we are given our desired result m<1 = m<3. Hence m<1 and m<3 are congruent.\r<BR>\n" );
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