document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202629>Question 1202629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The angles of a triangle add up to 180 degrees.\r<BR>\n" );
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document.write( "The second angle is 20 degrees larger than the smallest angle.\r<BR>\n" );
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document.write( "The third angle is 2 times as big as the smallest angle.\r<BR>\n" );
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document.write( "Find the measure of the smallest angle (in degrees). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837578 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=837578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Let a, b, and c represent the angles of the triangle.<BR>\n" );
document.write( "We'll have a = smallest angle.\r<BR>\n" );
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document.write( "\"<font color=blue>The angles of a triangle add up to 180 degrees.</font>\" gives the equation a+b+c = 180.\r<BR>\n" );
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document.write( "\"<font color=blue>The second angle is 20 degrees larger than the smallest angle.</font>\" gives the equation b = a+20.\r<BR>\n" );
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document.write( "\"<font color=blue>The third angle is 2 times as big as the smallest angle.</font>\" gives the equation c = 2a\r<BR>\n" );
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document.write( "a+b+c = 180<BR>\n" );
document.write( "a+(a+20)+c = 180 .... replace b with a+20<BR>\n" );
document.write( "a+(a+20)+2a = 180 .... replace c with 2a<BR>\n" );
document.write( "4a+20 = 180<BR>\n" );
document.write( "4a = 180-20<BR>\n" );
document.write( "4a = 160<BR>\n" );
document.write( "a = 160/4<BR>\n" );
document.write( "<font color=red>a = 40 degrees</font>\r<BR>\n" );
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document.write( "The other results b = a+20 and c = 2a will yield larger angles than 40 degrees.<BR>\n" );
document.write( "I'll let the student do this part and to verify.\r<BR>\n" );
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document.write( "Answer: <font color=red>40 degrees</font><BR>\n" );
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