document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068287>Question 1068287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AB is a chord of a segment of a circle and C is any point on the arc of the segment .Prove that m<CAB+m<CBA is the same for every position of C. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #683527 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52873)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=683527\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "m < CAB  +m < CBA  = 180 - m < c.\r\n" );
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document.write( "m < C is the same for all positions of the point C in the circle and is half of the measure of the arc AB, \r\n" );
document.write( "      since the angle C is an inscribed angle.\r\n" );
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document.write( "It implies that  m < CAB  +m < CBA  = const,\r\n" );
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document.write( "QED.\r<BR>\n" );
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document.write( "On inscribed angles see the lesson\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Circles/An-inscribed-angle.lesson>An inscribed angle in a circle</A>, \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook on Geometry\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A>\r<BR>\n" );
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document.write( "in this site. \r<BR>\n" );
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document.write( "The referred lesson is the part of this textbook under the topic <BR>\n" );
document.write( "\"<U>Properties of circles, inscribed angles, chords, secants and tangents</U>\".\r<BR>\n" );
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document.write( " </SPAN>\n" );
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