document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=798275>Question 798275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one interior angle of a regular polygon is 135 degrees (i)calculate the size of exterior angle<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 #482114 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=482114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An interior angle of a polygon and the corresponding exterior angle are supplementary. They add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C200%2C-3%2C3%2C-1%2C3%2C%0D%0Aline%28-3%2C0%2C0%2C0%29%2Cline%280%2C0%2C2.12%2C2.12%29%2Cline%282.12%2C2.12%2C2.12%2C3%29%2C%0D%0Ablue%28arrow%280%2C0%2C2.8%2C0%29%29%2Cgreen%28arc%280%2C0%2C2%2C2%2C-45%2C0%29%29%2C%0D%0Alocate%281%2C0.3%2Cangle%29%2Clocate%280.92%2C0.6%2Cexterior%29%2C%0D%0Ared%28arc%280%2C0%2C1.9%2C1.9%2C-180%2C-45%29%29%2Clocate%28-0.45%2C0.5%2Cred%28135%5Eo%29%29%2C%0D%0Alocate%28-1.5%2C1%2Cangle%29%2Clocate%28-1.7%2C1.3%2Cinterior%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > So the exterior angle measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo-135%5Eo=45%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo-135%5Eo=45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "As you go around a polygon, an exterior angle is the change of direction as you \"turn the corner\". One whole turn around the polygon is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so all the exterior angles add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In a regular polygon, all angles have the same measure, so after you turn your direction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > vertices, you will have made a complete<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2A45%5Eo=360%5Eo ALIGN=MIDDLE  ALT=\"8%2A45%5Eo=360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > turn around the polygon and will be going in the direction you started (and on the side you started).<BR>\n" );
document.write( "That polygon has 8 vertices (and 8 sides). It's an octagon, just like a STOP sign. </SPAN>\n" );
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