document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=267542>Question 267542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> four of the angles of a pentagon have measures 30,60,120, and 165. find the measure of the fifth angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196313 by </B><A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><B>vksarvepalli(154)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><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=vksarvepalli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sum of all the angles(interior) of a n sided polygon is given by\r<BR>\n" );
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document.write( "sum = 180(n-2) degrees\r<BR>\n" );
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document.write( "since pentagon has 5 sides (n=5) \r<BR>\n" );
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document.write( "sum of all the angles=180(5-2)=180*3 = 540 degrees\r<BR>\n" );
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document.write( "given four of the angles measure 30,60,120, and 165\r<BR>\n" );
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document.write( "let the fifth angle be x\r<BR>\n" );
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document.write( "so 30+60+120+165+x=540  => 375+x=540\r<BR>\n" );
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document.write( "thus x=165 degrees\r<BR>\n" );
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document.write( "so the fifth angle measures 165 degrees </SPAN>\n" );
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