document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=605977>Question 605977</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two supplementary angles are in the ratio 7:2 how many degrees are there in the measure of the larger angle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381870 by </B><A HREF=/tutors/aboutme.mpl?userid=Sarey><B>Sarey(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Sarey><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=381870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1)<BR>\n" );
document.write( "Let x - no of degrees in the smaller angle<BR>\n" );
document.write( "Therefore 2x the no of degrees in the larger angle<BR>\n" );
document.write( "Therefore 2x + x = 180 and hence x = 60 degrees and the greater angle is 2*60 = 120 deg.<BR>\n" );
document.write( "(2)<BR>\n" );
document.write( "180 = x + (x - 20) = 2x - 20 <BR>\n" );
document.write( "2x = 200<BR>\n" );
document.write( "x = 100<BR>\n" );
document.write( "Thus 100 is one angle and 80 is the second angle<BR>\n" );
document.write( "80 deg is the answer to your question.\r<BR>\n" );
document.write( "\n" );
document.write( "(3)<BR>\n" );
document.write( "7x + 2x = 180<BR>\n" );
document.write( "9x = 180<BR>\n" );
document.write( "x = 20<BR>\n" );
document.write( "One angle is 7*20 = 140 deg<BR>\n" );
document.write( "The other angle is 2*20 = 40 deg <BR>\n" );
document.write( "and 140 + 40 = 180 deg\r<BR>\n" );
document.write( "\n" );
document.write( "(4)<BR>\n" );
document.write( "(3a + 10) + (2a - 40) = 5a - 30 = 180<BR>\n" );
document.write( "and 5a = 180 + 30 = 210<BR>\n" );
document.write( "a = 42 <BR>\n" );
document.write( "The angles are 3*42 + 10 = 126 + 10 = 136 deg<BR>\n" );
document.write( "and 2*42 - 40 = 84 - 40 = 44 deg <BR>\n" );
document.write( "Add the angles 136 + 44 = 180<BR>\n" );
document.write( "The smaller angle is 44 degrees\r<BR>\n" );
document.write( "\n" );
document.write( "(5)<BR>\n" );
document.write( "Let the measure of the angle you seek be 'x'<BR>\n" );
document.write( "2x = twice the angle<BR>\n" );
document.write( "The angle which is 60 more than twice the angle = {60 + 2x}<BR>\n" );
document.write( "Therefore x + {60 +2x} = 180<BR>\n" );
document.write( "3x + 60 =180 <BR>\n" );
document.write( "3x = 120<BR>\n" );
document.write( "x = 40 deg is the answer;\r<BR>\n" );
document.write( "\n" );
document.write( "check 2*40 = 80<BR>\n" );
document.write( "2*40 + 60 = 140<BR>\n" );
document.write( "and 40 + 140 = 180 ok\r<BR>\n" );
document.write( "\n" );
document.write( "(6) <BR>\n" );
document.write( "Let x = one angle<BR>\n" );
document.write( "Let x + 80 the other angle<BR>\n" );
document.write( "Thus x + {x + 80} = 2x + 80 = 180<BR>\n" );
document.write( "2x = 100<BR>\n" );
document.write( "x = 50 <BR>\n" );
document.write( "Thus one angle = 50 and<BR>\n" );
document.write( "the other angle = 130 deg which is the answer\r<BR>\n" );
document.write( "\n" );
document.write( "(7)<BR>\n" );
document.write( "Let the sought angle be 'x' and its supplement is {180 - x}<BR>\n" );
document.write( "The compliment of 'x' is {90 - x}<BR>\n" );
document.write( "We are told that {180 - x} - 5*{90 - x} = 10<BR>\n" );
document.write( "180 - x - 450 + 5x = 10<BR>\n" );
document.write( "4x = 10 + 450 - 180 = 460 - 180 = 280<BR>\n" );
document.write( "x = 70 degrees which is the answer to the question\r<BR>\n" );
document.write( "\n" );
document.write( "Check<BR>\n" );
document.write( "supplement = 180 - 70 = 110<BR>\n" );
document.write( "compliment = 90 - 70 = 20<BR>\n" );
document.write( "Five times the compliment = 5*20 = 100<BR>\n" );
document.write( "supplement - 5*compliment = <BR>\n" );
document.write( "110 - 100 = 10 ok </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );