document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105740>Question 1105740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three of the interior angle measures of a trapezoid are in the ratio 3:5:7. What is the sum of all the possible measures of the fourth interior angle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720673 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The sum of the measures of the angles of a trapezoid is 360 degrees.<br><BR>\n" );
document.write( "If the trapezoid is ABCD with bases BC and AD, then the sum of the measures of angles A and B is 180 degrees, and the sum of the measures of angles C and D is 180 degrees.<br><BR>\n" );
document.write( "There are three cases for the problem....<br><BR>\n" );
document.write( "(1) Angles A and B are 3x and 5x; that makes the other two angles 7x and x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7x%2Bx+=+8x+=+180 ALIGN=MIDDLE  ALT=\"7x%2Bx+=+8x+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  x = 22.5; the fourth angle is 22.5 degrees.<br><BR>\n" );
document.write( "(2) Angles A and B are 3x and 7x; that makes the other two angles 5x and 5x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B5x+=+10x+=+180 ALIGN=MIDDLE  ALT=\"5x%2B5x+=+10x+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  x = 18; the fourth angle is 5x = 90 degrees.<BR>\n" );
document.write( "(3) Angles A and B are 5x and 7x; that makes the other two angles 3x and 9x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B9x+=+12x+=+180 ALIGN=MIDDLE  ALT=\"3x%2B9x+=+12x+=+180\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  x = 15; the fourth angle is 9x = 135 degrees. </SPAN>\n" );
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