document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095076>Question 1095076</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. If I have a parallelogram inside a circle, with one corner touching the centerpoint, and 3 corners touching the circle edge, how can I calculate the angles of the parallelogram without having any given angle in the question? This question is from a school book. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #709632 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>If a parallelogram has one vertex at the center of a circle and the other three vertices on the circle, then two adjacent sides of the parallelogram are the same length; that means the parallelogram is a rhombus.<br><BR>\n" );
document.write( "In fact, the rhombus has to be one with angles of 60 and 120 degrees.<br><BR>\n" );
document.write( "If you have trouble visualizing that (I did!), inscribe a regular hexagon ABCDEF in circle O and draw radii OA, OC, and OE....<br><BR>\n" );
document.write( "So a parallelogram with the specified conditions  has to be a rhombus with angles of 60 and 120 degrees. </SPAN>\n" );
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