document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965085>Question 965085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Angle C is an inscribed angle of circle P. Angle C measures (20x – 5)° and arc AB measures (30x + 30)°. Find the measure of Angle C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589929 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the number of degrees in an inscribed angle is equal to 1/2 times the number of degrees in the inscribed arc formed by that angle.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "if the number of degrees in the inscribed arc is 180, then the inscribed angle measures 90 degrees.\r<BR>\n" );
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document.write( "if the number of degrees in the inscribed arc is 90, then the inscribed angle measures 45 degrees.\r<BR>\n" );
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document.write( "your inscribed angle measures (20x - 5) degrees.\r<BR>\n" );
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document.write( "your inscribed arc created from that angle measures (30x + 30) degrees.\r<BR>\n" );
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document.write( "based on the formula that the inscribed angle measures 1/2 * the inscribed angle, 20x - 5 degrees is equal to 1/2 * 30x + 30 degrees.\r<BR>\n" );
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document.write( "your equation is:\r<BR>\n" );
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document.write( "20x - 5 = 1/2 * (30x + 30)\r<BR>\n" );
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document.write( "simplify to get 20x - 5 = 15x + 15\r<BR>\n" );
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document.write( "subtract 15x from both sides of this equation and add 5 to both sides of the equation to get:\r<BR>\n" );
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document.write( "20x - 15x = 15 + 5\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "5x = 20\r<BR>\n" );
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document.write( "divide both sides of this equation by 4 to get:\r<BR>\n" );
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document.write( "x = 4.\r<BR>\n" );
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document.write( "your inscribed angle measures 20*4 - 5 degrees which is equal to 75 degrees.\r<BR>\n" );
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document.write( "your inscribed arc measures 30*4 + 30 which is equal to 150 degrees.\r<BR>\n" );
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document.write( "75 degrees is equal to 1/2 * 150 degrees so the solution looks good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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