document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160835>Question 1160835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One angle of a triangle measures 11°. The other two angles are in a ratio of 3:10. What are the measures of those two angles?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #784232 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=784232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "angle A = 11 degrees<BR>\n" );
document.write( "angle B = 3x degrees<BR>\n" );
document.write( "angle C = 10x degrees\r<BR>\n" );
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document.write( "angles B and C are in the ratio 3x:10x which reduces to 3:10 after dividing both parts by x\r<BR>\n" );
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document.write( "Angles A,B,C of the triangle add to 180 degrees<BR>\n" );
document.write( "A+B+C = 180<BR>\n" );
document.write( "11+3x+10x = 180<BR>\n" );
document.write( "13x+11 = 180<BR>\n" );
document.write( "13x+11-11 = 180-11 ... subtract 11 from both sides<BR>\n" );
document.write( "13x = 169<BR>\n" );
document.write( "13x/13 = 169/13<BR>\n" );
document.write( "x = 13\r<BR>\n" );
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document.write( "Using that x value, <BR>\n" );
document.write( "angle B = 3x = 3*13 = 39 degrees<BR>\n" );
document.write( "angle C = 10x = 10*13 = 130 degrees\r<BR>\n" );
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document.write( "Updated angles<BR>\n" );
document.write( "angle A = 11 degrees<BR>\n" );
document.write( "angle B = 39 degrees<BR>\n" );
document.write( "angle C = 130 degrees\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "A+B+C = 11+39+130 = 180<BR>\n" );
document.write( "the ratio 39:130 reduces to 3:10 after dividing both parts by the GCF 13<BR>\n" );
document.write( "That confirms the answers<BR>\n" );
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