document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83353>Question 83353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if you are given an isosolese triangle with the angle 50 given for a , what are all the possible degrees for angle b and c </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59854 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=59854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You know two key factors:<BR>\n" );
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document.write( "1. The sum of the angles in a triangle is 180 degrees<BR>\n" );
document.write( "2. In an isosceles triangle, 2 of the angles are equal.<BR>\n" );
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document.write( "Let's first suppose that the 50 degrees is the odd angle in that it is NOT one of the pair<BR>\n" );
document.write( "of equal angles.  Therefore, we can subtract 50 degrees from the 180 degrees in the <BR>\n" );
document.write( "triangle and find that the remaining pair of equal angles must total to the missing<BR>\n" );
document.write( "130 degrees.  So each of the remaining angles must be 1/2 of 130 degrees or 65 degrees.<BR>\n" );
document.write( "So, in this case the three angles in the triangle are a = 50 degrees (given), b = 65 degrees, <BR>\n" );
document.write( "and c = 65 degrees.<BR>\n" );
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document.write( "Another possibility exists.  This possibility is that one of the other angles in the triangle<BR>\n" );
document.write( "is equal to the given 50 degree angle.  Therefore, this triangle has two angles of 50 <BR>\n" );
document.write( "degrees each for a total of 100 degrees.  This time the \"odd\" angle has to be the remaining<BR>\n" );
document.write( "number of degrees in the triangle.  The odd angle measure is 180 - 100 = 80 degrees.<BR>\n" );
document.write( "So in this triangle the angles are a = 50 degrees (given), b = 50 degrees, and c = 80 degrees<BR>\n" );
document.write( "OR a = 50 degrees (given), c = 50 degrees, and b = 80 degrees. (Two cases depending<BR>\n" );
document.write( "on the values you select for b and c.)<BR>\n" );
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document.write( "Hope this helps you to understand how to find the three possible answers to the problem.  Cheers! </SPAN>\n" );
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