document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192036>Question 1192036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For concave hexagon HJKLMN, m∠H = y° and the measure of the reflex angle at N is <BR>\n" );
document.write( "(2(y + 4))°\r<BR>\n" );
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document.write( "What is the sum of the measures of the interior angles of the hexagon in degrees?<BR>\n" );
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document.write( "Find y°. (Hint: Note congruences in the figure.)<BR>\n" );
document.write( "y° = <BR>\n" );
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document.write( "Find the measure of the interior angle at vertex N in degrees.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823926 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=823926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "In this current state, there isn't enough information to answer parts (b) and (c)\r<BR>\n" );
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document.write( "I'll only address part (a)\r<BR>\n" );
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document.write( "Draw any hexagon you wish. It doesn't need to be concave.<BR>\n" );
document.write( "From one of the six vertex points, draw segments to connect to the other non-adjacent vertices. <BR>\n" );
document.write( "You should draw 3 such additional segments.\r<BR>\n" );
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document.write( "This splits the hexagon into 4 triangles.<BR>\n" );
document.write( "The sum of the angles of any triangle is 180 degrees. \r<BR>\n" );
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document.write( "Therefore, the angles of any hexagon always add to 180(4) = 720 degrees.<BR>\n" );
document.write( "This applies to concave hexagons as well as convex hexagons.\r<BR>\n" );
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document.write( "You could use the formula<BR>\n" );
document.write( "S = 180(n-2)<BR>\n" );
document.write( "where n = 6 and you'll get the same result. In fact, what I've discussed earlier is a visual proof of why that formula works.<BR>\n" );
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