document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196065>Question 1196065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 1 options:<BR>\n" );
document.write( "The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is fifteen more than the second. Find the measures of the three angles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828751 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=828751\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "A = first angle<BR>\n" );
document.write( "B = second angle<BR>\n" );
document.write( "C = third angle\r<BR>\n" );
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document.write( "We're given that <font color=blue>The third angle is fifteen more than the second</font>, which means C = B+15\r<BR>\n" );
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document.write( "Also, <font color=blue>The sum of the measures of the second and third angles is three times the measure of the first angle</font> which means:<BR>\n" );
document.write( "B+C = 3A\r<BR>\n" );
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document.write( "We'll use the fact that for any triangle, the interior angles sum to 180<BR>\n" );
document.write( "A+B+C = 180<BR>\n" );
document.write( "A+(B+C) = 180<BR>\n" );
document.write( "A+(3A) = 180<BR>\n" );
document.write( "4A = 180<BR>\n" );
document.write( "A = 180/4<BR>\n" );
document.write( "A = 45\r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "B+C = 3A<BR>\n" );
document.write( "B+C = 3*45<BR>\n" );
document.write( "B+C = 135\r<BR>\n" );
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document.write( "Now plug in C = B+15 and solve for B<BR>\n" );
document.write( "B+C = 135<BR>\n" );
document.write( "B+B+15 = 135<BR>\n" );
document.write( "2B+15 = 135<BR>\n" );
document.write( "2B = 135-15<BR>\n" );
document.write( "2B = 120<BR>\n" );
document.write( "B = 120/2<BR>\n" );
document.write( "B = 60\r<BR>\n" );
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document.write( "Then we can find C<BR>\n" );
document.write( "C = B+15<BR>\n" );
document.write( "C = 60+15<BR>\n" );
document.write( "C = 75\r<BR>\n" );
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document.write( "<font color=red>Summary:</font><BR>\n" );
document.write( "A = 45 degrees<BR>\n" );
document.write( "B = 60 degrees<BR>\n" );
document.write( "C = 75 degrees<BR>\n" );
document.write( "where A,B,C are the 1st,2nd,3rd angles in that exact order.<BR>\n" );
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