document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222313>Question 222313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two angles of a triangle have the same measure and the third angle is 30 degrees greater than the measure of the other two. find the measure of each angle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168104 by </B><A HREF=/tutors/aboutme.mpl?userid=LtAurora><B>LtAurora(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LtAurora><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=LtAurora><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> All the angles of a triangle add up to 180 degrees.<BR>\n" );
document.write( "Since two of the angles are the same, we can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2BB=180 ALIGN=MIDDLE  ALT=\"2A%2BB=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Where 2A accounts for the two angles that are the same.<BR>\n" );
document.write( "We are given the relation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=A%2B30 ALIGN=MIDDLE  ALT=\"B=A%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can plug this into our first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2A%2BA%2B30=180 ALIGN=MIDDLE  ALT=\"2A%2BA%2B30=180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms and move the 30 to the other side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3A=150 ALIGN=MIDDLE  ALT=\"3A=150\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=50 ALIGN=MIDDLE  ALT=\"A=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We can solve for B by plugging A back into our relation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=50%2B30 ALIGN=MIDDLE  ALT=\"B=50%2B30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=80 ALIGN=MIDDLE  ALT=\"B=80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To check: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2B50%2B50=180 ALIGN=MIDDLE  ALT=\"80%2B50%2B50=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we are correct. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );