document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918130>Question 918130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures. <BR>\n" );
document.write( "m&#8736;1 = 45°, m&#8736;4 = (9x)°  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556917 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Angle Addition Postulate\r<BR>\n" );
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document.write( "    If the sum of the two angles measure up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" >°, then the angles are called to be ‘complementary angles’.\r<BR>\n" );
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document.write( "m&#8736;1 = 45°, m&#8736;4 = (9x)° => m&#8736;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B4 ALIGN=MIDDLE  ALT=\"1%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2B+%289x%29=90 ALIGN=MIDDLE  ALT=\"45%2B+%289x%29=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x=90-45 ALIGN=MIDDLE  ALT=\"+9x=90-45\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x=45 ALIGN=MIDDLE  ALT=\"+9x=45\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=45%2F9 ALIGN=MIDDLE  ALT=\"+x=45%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=5 ALIGN=MIDDLE  ALT=\"+x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "so, => m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+45 ALIGN=MIDDLE  ALT=\"+45\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "   <BR>\n" );
document.write( "    If the sum of the two angles measure up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180 ALIGN=MIDDLE  ALT=\"180\"   DISABLED_style= \"max-width:90%; height:auto;\" >°, then the angles are called to be ‘supplementary angles’.\r<BR>\n" );
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document.write( "m&#8736;1 = 45°, m&#8736;4 = (9x)° => m&#8736;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B4 ALIGN=MIDDLE  ALT=\"1%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2B+%289x%29=180 ALIGN=MIDDLE  ALT=\"45%2B+%289x%29=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x=180-45 ALIGN=MIDDLE  ALT=\"+9x=180-45\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9x=135 ALIGN=MIDDLE  ALT=\"+9x=135\"   DISABLED_style= \"max-width:90%; height:auto;\" >° \r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=135%2F9 ALIGN=MIDDLE  ALT=\"+x=135%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "=> m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=15 ALIGN=MIDDLE  ALT=\"+x=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "so, => m&#8736;4 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+135 ALIGN=MIDDLE  ALT=\"+135\"   DISABLED_style= \"max-width:90%; height:auto;\" >°\r<BR>\n" );
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document.write( "    The angles sharing a common side are called as ‘adjacent angles’.<BR>\n" );
document.write( "they cannot be ‘adjacent angles’ because their sum is not given\r<BR>\n" );
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