document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860018>Question 860018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quadrilateral (Not Regular) is inscribed in a circle. One of the angles is 82°, find the angle that is opposite the given angle. need the answer and calculations to get the answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518098 by </B><A HREF=/tutors/aboutme.mpl?userid=ben720><B>ben720(159)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ben720><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=518098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The opposite angle is 98° by the <b>Opposite Angles of Cyclic Quadrilaterals Conjecture</b>.<BR>\n" );
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document.write( "If you don't know what the Opposite Angles of Cyclic Quadrilaterals Conjecture is, it is that the opposite angles of cyclic quadrilaterals are supplementary. <BR>\n" );
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document.write( "To prove this, take a circle. The two opposite angles in the quadrilateral are the inscribed angles of two arcs. Those arcs comprise the entire circle.<BR>\n" );
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document.write( "Therefore, as the measure of an inscribed angle is half that of the arc it defines, the two angles add up to 180°.<BR>\n" );
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document.write( "This conjecture has a weird proof; if you would like to have more clarification, feel free to email be at benfasigal AT gmail DOT com </SPAN>\n" );
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