document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205114>Question 205114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following facts are true about triangle ABC:\r<BR>\n" );
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document.write( "[measure_angle_B=120 degrees, AC=x(sqroot3), BC=x\r<BR>\n" );
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document.write( "How many choices are there for the measure of angle A?<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 #154839 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=154839\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following facts are true about triangle ABC: <BR>\n" );
document.write( "[measure_angle_B=120 degrees, <BR>\n" );
document.write( "AC=x(sqroot3) (this is side \"b\", <BR>\n" );
document.write( "BC=x (this is side a)<BR>\n" );
document.write( "How many choices are there for the measure of angle A?<BR>\n" );
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document.write( "Using the Law of Sines you get:<BR>\n" );
document.write( "sin(A)/a = sin(B)/b<BR>\n" );
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document.write( "sin(A)/x = sin(120)/x(sqrt(3))<BR>\n" );
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document.write( "sin(A) = [sqrt(3)/2]/(sqrt(3))<BR>\n" );
document.write( "sin(A) = (1/2)<BR>\n" );
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document.write( "So the measure of angle A could be 30 deg or it could be 150 deg<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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