document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156023>Question 156023</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the angles of a triangle is 180. Find teh three angles of the triangle if one angle is 4 times the smallest angle and the third angle is 24 degrees greater than 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 #114929 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=114929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the measure of the smallest angle.<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "The measure of the second angle is 4x.<BR>\n" );
document.write( "The measure of the third angle is x + 24.<BR>\n" );
document.write( "As their sum is 180°, we have<BR>\n" );
document.write( "x + 4x + x + 24 = 180<BR>\n" );
document.write( "Solving for x, we have<BR>\n" );
document.write( "6x + 24 = 180<BR>\n" );
document.write( "6x = 156<BR>\n" );
document.write( "x = 26<BR>\n" );
document.write( "So\r<BR>\n" );
document.write( "\n" );
document.write( "The measure of the smallest angle is 26<BR>\n" );
document.write( "The measure of the second angle is 4x = 4*26 = 104<BR>\n" );
document.write( "The measure of the third angle is x + 24 = 50. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );