document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=774067>Question 774067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this \r<BR>\n" );
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document.write( "The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 90 degrees larger than each of A and B. What are the measures of the three angles?<BR>\n" );
document.write( "Angle a is <BR>\n" );
document.write( "Angle b is <BR>\n" );
document.write( "Angle C is <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #472029 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=472029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the three angles of a triangle be a, b and c.<BR>\n" );
document.write( "We are given<BR>\n" );
document.write( "(1) a = b<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) c = b + 90<BR>\n" );
document.write( "and we know that<BR>\n" );
document.write( "(3) a + b + c = 180<BR>\n" );
document.write( "Put (1) into (3) and get<BR>\n" );
document.write( "(4) b + b + c = 180 or<BR>\n" );
document.write( "(5) 2*b + c = 180<BR>\n" );
document.write( "Now put (2) into (5) to get<BR>\n" );
document.write( "(6) 2*b + b + 90 = 180 or<BR>\n" );
document.write( "(7) 3*b = 90 or<BR>\n" );
document.write( "(8) b = 30 and from (1) we have<BR>\n" );
document.write( "(9) a = 30 and from (2) we have<BR>\n" );
document.write( "(10) c = 120<BR>\n" );
document.write( "Let's check these values with (3).<BR>\n" );
document.write( "Is (30 + 30 + 120 = 180)?<BR>\n" );
document.write( "Is (60 + 120 = 180)?<BR>\n" );
document.write( "Is (180 = 180)? Yes<BR>\n" );
document.write( "Answer: angles a, b and c are 30, 30, and 120 degrees, respectively.  </SPAN>\n" );
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