document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060279>Question 1060279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ABCDE is a regular pentagon. On AB, a square ABXY is drawn lying within the pentagon. Find the number of degrees in the angles CBX, DCX, and XBD. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675257 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=675257\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-2%2C2%2C-0.5%2C3.5%2C%0D%0Aline%28-1%2C0%2C-1.62%2C1.9%29%2Cline%281%2C0%2C1.62%2C1.9%29%2C%0D%0Aline%280%2C3.08%2C-1.62%2C1.9%29%2Cline%280%2C3.08%2C1.62%2C1.9%29%2C%0D%0Atriangle%281.62%2C1.9%2C1%2C2%2C1%2C0%29%2Ctriangle%281.62%2C1.9%2C0%2C3.08%2C1%2C0%29%2C%0D%0Arectangle%28-1%2C0%2C1%2C2%29%2Clocate%28-1.05%2C0%2CA%29%2C%0D%0Alocate%280.98%2C0%2CB%29%2Clocate%281.65%2C2%2CC%29%2C%0D%0Alocate%28-0.02%2C3.3%2CD%29%2Clocate%28-1.75%2C2%2CE%29%2C%0D%0Alocate%28-0.96%2C2%2CY%29%2Clocate%280.88%2C2%2CX%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > The sides of the pentagon and the sides of the square have all the same length,<BR>\n" );
document.write( "so triangle BCX is isosceles, and DCB is isosceles.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABX=90%5Eo ALIGN=MIDDLE  ALT=\"ABX=90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > because ABXY is a square.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC=108%5Eo ALIGN=MIDDLE  ALT=\"ABC=108%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > because ABCDE is a pentagon,<BR>\n" );
document.write( "with external angles measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo%2F5=72 ALIGN=MIDDLE  ALT=\"360%5Eo%2F5=72\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and internal angles measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo-72%5Eo=108%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo-72%5Eo=108%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC=BCD=108%5Eo ALIGN=MIDDLE  ALT=\"ABC=BCD=108%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBX=ABC-ABX=108%5Eo-90%5Eo=highlight%2818%5Eo%29 ALIGN=MIDDLE  ALT=\"CBX=ABC-ABX=108%5Eo-90%5Eo=highlight%2818%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since BCX is isosceles, besides its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBX=18%5Eo ALIGN=MIDDLE  ALT=\"CBX=18%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > vertex angle,<BR>\n" );
document.write( "it has two base angles measuring<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XCB=%28180%5Eo-CBX%29%2F2=%28180%5Eo-18%5Eo%29%2F2=162%5Eo%2F2=81%5Eo ALIGN=MIDDLE  ALT=\"XCB=%28180%5Eo-CBX%29%2F2=%28180%5Eo-18%5Eo%29%2F2=162%5Eo%2F2=81%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since DCB is isosceles, besides its <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BCD=108%5Eo ALIGN=MIDDLE  ALT=\"BCD=108%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > vertex angle,<BR>\n" );
document.write( "it has two base angles measuring<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CBD=%28180%5Eo-BCD%29%2F2=%28180%5Eo-108%5Eo%29%2F2=72%5Eo%2F2=36%5Eo ALIGN=MIDDLE  ALT=\"CBD=%28180%5Eo-BCD%29%2F2=%28180%5Eo-108%5Eo%29%2F2=72%5Eo%2F2=36%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DCX=BCD-XCB=108%5Eo-81%5Eo=highlight%2827%5Eo%29 ALIGN=MIDDLE  ALT=\"DCX=BCD-XCB=108%5Eo-81%5Eo=highlight%2827%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=XBD=CBD-CBX=36%5Eo-18%5Eo=highlight%2818%5Eo%29 ALIGN=MIDDLE  ALT=\"XBD=CBD-CBX=36%5Eo-18%5Eo=highlight%2818%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );