document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=707864>Question 707864</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I was wondering how you would answer this question. two rays bisect two consecutive angles of a regular decagon and intersect in the decagon's interior. Find the measure of the acute angles formed by the intersecting rays. If if is possible can you show me how you would draw this and then explain how to find this becuase I am really confused! Thanks so much:D  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435892 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=435892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First find the measure of each interior angle in the regular decagon\r<BR>\n" );
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document.write( "I = (180(n-2))/n\r<BR>\n" );
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document.write( "I = (180(10-2))/10\r<BR>\n" );
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document.write( "I = (180(8))/10\r<BR>\n" );
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document.write( "I = 1440/10\r<BR>\n" );
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document.write( "I = 144\r<BR>\n" );
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document.write( "So the measure of each interior angle of a 10-sided polygon is 144 degrees.\r<BR>\n" );
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document.write( "The rays bisect the interior angles, so they get cut in half to get 144/2 = 72 degrees\r<BR>\n" );
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document.write( "There are 2 such angles (a drawing will show you this). So if x is the remaining angle, then x+72+72 = 180 since all angles in a triangle add to 180 degrees.\r<BR>\n" );
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document.write( "Solve for x\r<BR>\n" );
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document.write( "x+72+72=180\r<BR>\n" );
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document.write( "x+144=180\r<BR>\n" );
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document.write( "x=180-144\r<BR>\n" );
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document.write( "x=36\r<BR>\n" );
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document.write( "So the rays intersect at the angle of 36 degrees. This is because the remaining angle is exactly the angle which is formed when the two rays intersect. </SPAN>\n" );
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