document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181671>Question 181671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles in a triangle are equal and their sum is five times the third angle in the triangle. What are the measures of each of the three interior angles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136296 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=136296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two angles in a triangle are equal and their sum is five times the third angle in the triangle. What are the measures of each of the three interior angles?<BR>\n" );
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document.write( "let a, b and c be our angles<BR>\n" );
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document.write( "a=b.........eq 1<BR>\n" );
document.write( "a+b=5c......eq 2<BR>\n" );
document.write( "a+b+c=180...eq 3<BR>\n" );
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document.write( "take a's value from eq 1 and plug it into eq 2.---->b+b=5c-->2b=5c-->c=(2/5)b<BR>\n" );
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document.write( "now take a's value from eq 1 and our new found value of c which is (2/5)b and plug those into eq 3<BR>\n" );
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document.write( "b+b+(2/5)b=180<BR>\n" );
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document.write( "5b+5b+2b=900.........multiplied all terms by 5 to eliminate the fraction<BR>\n" );
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document.write( "12b=900<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=75%29 ALIGN=MIDDLE  ALT=\"highlight%28b=75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=b=75%29 ALIGN=MIDDLE  ALT=\"highlight%28a=b=75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28c=%282%2F5%29b=%282%2F5%2975=30%29 ALIGN=MIDDLE  ALT=\"highlight%28c=%282%2F5%29b=%282%2F5%2975=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees </SPAN>\n" );
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