document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179412>Question 179412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one angle of a triangle is 30 degrees larger than the smallest angle, and the third angle is four times as large as the smallest angle. find the angle of the smallest angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134338 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     one angle of a triangle is 30 degrees larger than the smallest angle, and the third angle is four times as large as the smallest angle. find the angle of the smallest angle<BR>\n" );
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document.write( "First, we know that for any triangle, the sum of the interior angles is 180.<BR>\n" );
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document.write( "Let x = smallest angle (angle two)<BR>\n" );
document.write( "then from: \"one angle of a triangle is 30 degrees larger than the smallest angle\"<BR>\n" );
document.write( "x+30 = angle one<BR>\n" );
document.write( "and from: \"the third angle is four times as large as the smallest angle\"<BR>\n" );
document.write( "4x = angle three<BR>\n" );
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document.write( "x + x+30 + 4x = 180<BR>\n" );
document.write( "30 + 6x = 180<BR>\n" );
document.write( "6x = 150<BR>\n" );
document.write( "x = 25 degrees (smallest angle)<BR>\n" );
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