document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972272>Question 972272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a hexagon ABCDEF, angle A and angle B are right angles. If angle C is congruent to angles D,E,F, what is the measure of angle F in degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594603 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=594603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the angles of a hexagon are calculated by the following two equations.\r<BR>\n" );
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document.write( "first equation s = (n-2)*180 = 4*180 = 720 degrees.\r<BR>\n" );
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document.write( "second equation s = (180 - 360/n) * n = (180 - 360/6) * 6 = (180 - 60) * 6 = 120 * 6 = 720.\r<BR>\n" );
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document.write( "the first equation uses the normal equation you should be familiar with.\r<BR>\n" );
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document.write( "the second equation takes advantage of the fact that the external angle of a polygon is equal to 360 divided by the number of sides of the polygon and the internal angle of the polygon is the supplement of that.\r<BR>\n" );
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document.write( "multiply the internal angle by the number of sides and you get the sum of the internal angles of the polygon.\r<BR>\n" );
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document.write( "both formulas get you the same answer as they should.\r<BR>\n" );
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document.write( "you now know that the sum of the angles is 720.\r<BR>\n" );
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document.write( "you also know that the sum of the two right angles is 180.\r<BR>\n" );
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document.write( "subtract 180 from 720 to get 540 which you now know has to be divided evenly by the remaining angles of the hexagon.\r<BR>\n" );
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document.write( "540 / 4 = 135.\r<BR>\n" );
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document.write( "the remaining 4 angles must be equal to 135 apiece.\r<BR>\n" );
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document.write( "2 * 90 + 4 * 135 = 180 + 540 = 720.\r<BR>\n" );
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document.write( "135 is your answer for each of angles c, d, e, and f.\r<BR>\n" );
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document.write( "your answer should be that angle f is equal to 135 degrees.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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