document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=530917>Question 530917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Josie is making a pattern for quilt pieces. One pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees more than half the measure of the other acute angle. Find the measure of each angle 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 #350283 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=350283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Josie is making a pattern for quilt pieces. One pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees more than half the measure of the other acute angle. Find the measure of each angle of the triangle.\r<BR>\n" );
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document.write( "Let the 1st angle be F<BR>\n" );
document.write( "Then the other is (90 – F), since this is a right-triangle, and both are complementary\r<BR>\n" );
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document.write( "We therefore have: F = ˝(90 – F) + 12\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+=+45+-+F%2F2+%2B+12 ALIGN=MIDDLE  ALT=\"F+=+45+-+F%2F2+%2B+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F+=+57+-+F%2F2 ALIGN=MIDDLE  ALT=\"F+=+57+-+F%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2F = 114 – F ----- Multiplying by LCD, 2\r<BR>\n" );
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document.write( "3F = 114\r<BR>\n" );
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document.write( "F, or 1st angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=114%2F3 ALIGN=MIDDLE  ALT=\"114%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2838%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%2838%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2nd angle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2852%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight_green%2852%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo+-+38%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo+-+38%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >) \r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at  MathMadEzy@aol.com </SPAN>\n" );
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