document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177875>Question 177875</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If triangle ABC angle B is 8Degrees less than one half of angle A and angle C is 28 degress larger than angle A.  Find the measues of the three angles of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132854 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "For all triangles, the sum of measures of the interior angles is 180°.  So for your triangle <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \angle A + \angle B + \angle C = 180\">\r<BR>\n" );
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document.write( "But we are given that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \angle B = \frac {\angle A}{2} - 8\"> and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \angle C = \angle A + 28\">.\r<BR>\n" );
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document.write( "We can substitute these expressions into the sum equation thus:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \angle A + (\frac {\angle A}{2} - 8) + (\angle A + 28) = 180\">\r<BR>\n" );
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document.write( "Now solve for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \angle A\"> by ordinary means.\r<BR>\n" );
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document.write( "Multiply by 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 2 \angle A + \angle A - 16 + 2 \angle A + 56 = 360\">\r<BR>\n" );
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document.write( "Collect like terms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5 \angle A + 40 = 360\">\r<BR>\n" );
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document.write( "Add -40 to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 5 \angle A = 320\">\r<BR>\n" );
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document.write( "Multiply by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac {1}{5}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \angle A = 64\">\r<BR>\n" );
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document.write( "You should be able to figure the measures of the other two by substitution of this value.\r<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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