document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=762659>Question 762659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of sides of a regular polygon given the measure of an interior angle:<BR>\n" );
document.write( "1. 156 degrees<BR>\n" );
document.write( "2. 157.5 degrees<BR>\n" );
document.write( "3. 162 degrees<BR>\n" );
document.write( "4. 144 degrees<BR>\n" );
document.write( "5. 165 degrees<BR>\n" );
document.write( "6. 140 degrees<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464127 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=464127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One interior angle of a polygon is found by the equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28%28n-2%29%2A180%29%2Fn ALIGN=MIDDLE  ALT=\"A+=+%28%28n-2%29%2A180%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Where n is the number of sides of the polygon.<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "I will help you answer the first few.<BR>\n" );
document.write( "You are one given the angle of 156<BR>\n" );
document.write( "Plug 156 into the equation for A.<BR>\n" );
document.write( "Since you will be doing this calulations multiple times, we will simplify the equation.<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%28%28n-2%29%2A180%29%2Fn ALIGN=MIDDLE  ALT=\"A+=+%28%28n-2%29%2A180%29%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by n<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2An+=+%28n-2%29%2A180 ALIGN=MIDDLE  ALT=\"A%2An+=+%28n-2%29%2A180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply the 180 through of the right side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2An+=+180n+-+360 ALIGN=MIDDLE  ALT=\"A%2An+=+180n+-+360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get all the n terms on one side of the equation by subtracting 180n from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2An+-+180n+=+-360 ALIGN=MIDDLE  ALT=\"A%2An+-+180n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Now plug 156 into the equation for A.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2An+-+180n+=+-360 ALIGN=MIDDLE  ALT=\"A%2An+-+180n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28156%29%2An+-+180n+=+-360 ALIGN=MIDDLE  ALT=\"%28156%29%2An+-+180n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24n+=+-360 ALIGN=MIDDLE  ALT=\"-24n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by -24.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n+=+15%29 ALIGN=MIDDLE  ALT=\"highlight%28n+=+15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Follow the same steps for the rest of the given angles.<BR>\n" );
document.write( "For A = 157.5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2An+-+180n+=+-360 ALIGN=MIDDLE  ALT=\"A%2An+-+180n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=157.5%2An+-+180n+=+-360 ALIGN=MIDDLE  ALT=\"157.5%2An+-+180n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-22.4n+=+-360 ALIGN=MIDDLE  ALT=\"-22.4n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28n+=+16%29 ALIGN=MIDDLE  ALT=\"highlight_green%28n+=+16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "For A = 162<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2An+-+180n+=+-360 ALIGN=MIDDLE  ALT=\"A%2An+-+180n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162%2An+-+180n+=+-360 ALIGN=MIDDLE  ALT=\"162%2An+-+180n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18n+=+-360 ALIGN=MIDDLE  ALT=\"-18n+=+-360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n+=+20%29 ALIGN=MIDDLE  ALT=\"highlight%28n+=+20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "I will leave the rest up to you.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );