document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1753>Question 1753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many interior angles does a undecagon have?<BR>\n" );
document.write( " A. 7<BR>\n" );
document.write( " B. 9<BR>\n" );
document.write( " C. 11<BR>\n" );
document.write( " D. 110\r<BR>\n" );
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document.write( "How many diagonals can be drawn from each vertex of a decagon?<BR>\n" );
document.write( " A. 7<BR>\n" );
document.write( " B. 8<BR>\n" );
document.write( " C. 9<BR>\n" );
document.write( " D. 10\r<BR>\n" );
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document.write( "How many distinct diagonals does a hexagon have?<BR>\n" );
document.write( " A. 6<BR>\n" );
document.write( " B. 9<BR>\n" );
document.write( " C. 12<BR>\n" );
document.write( " D. 18\r<BR>\n" );
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document.write( "Calculate the sum of the interior angles of a convex hexagon.<BR>\n" );
document.write( " A. 120°<BR>\n" );
document.write( " B. 720°<BR>\n" );
document.write( " C. 900°<BR>\n" );
document.write( " D. 1080°\r<BR>\n" );
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document.write( "Calculate the sum of the interior angles of a convex 40-gon.<BR>\n" );
document.write( " A. 171°<BR>\n" );
document.write( " B. 360°<BR>\n" );
document.write( " C. 6840°<BR>\n" );
document.write( " D. 7200°\r<BR>\n" );
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document.write( "If possible, give the name of the convex polygon in which the sum of the interior angles equals 1260°. <BR>\n" );
document.write( " A. hexagon<BR>\n" );
document.write( " B. heptagon<BR>\n" );
document.write( " C. nonagon<BR>\n" );
document.write( " D. no such polygon exists\r<BR>\n" );
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document.write( "In the convex quadrilateral ABCD, if A  D, mB = 110°, and mC = 60°, find mA.<BR>\n" );
document.write( " A. 95°<BR>\n" );
document.write( " B. 170°<BR>\n" );
document.write( " C. 190°<BR>\n" );
document.write( " D. 360°\r<BR>\n" );
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document.write( "Suppose the interior angles of a convex pentagon are five consecutive numbers, find the measure of the largest angle. <BR>\n" );
document.write( " A. 105°<BR>\n" );
document.write( " B. 106°<BR>\n" );
document.write( " C. 109°<BR>\n" );
document.write( " D. 110°\r<BR>\n" );
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document.write( "Use the following figure to answer question 12. \r<BR>\n" );
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document.write( "Which list of angles represents one set of exterior angles of LMN? <BR>\n" );
document.write( " A. 1, 2, and 3<BR>\n" );
document.write( " B. 2, 5, and 8<BR>\n" );
document.write( " C. 3, 6, and 9<BR>\n" );
document.write( " D. 1, 3, 4, 6, 7, and 9\r<BR>\n" );
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document.write( "Question 12 <BR>\n" );
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document.write( "If five of the exterior angles of a convex hexagon measure 55°, 60°, 63°, 70°, and 81°, find the measure of the sixth exterior angle. <BR>\n" );
document.write( " A. 31°<BR>\n" );
document.write( " B. 60°<BR>\n" );
document.write( " C. 120°<BR>\n" );
document.write( " D. 391°\r<BR>\n" );
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document.write( "If the exterior angles of a convex octagon are x + 13, 2x - 1, 2x + 6, 2x + 12, 2x - 17, 3x - 4, 3x - 10, and 4x, calculate the smallest of the eight angles. <BR>\n" );
document.write( " A. 19°<BR>\n" );
document.write( " B. 21°<BR>\n" );
document.write( " C. 32°<BR>\n" );
document.write( " D. 37°\r<BR>\n" );
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document.write( "How many sides would a regular polygon have if each interior angle measures 162°? <BR>\n" );
document.write( " A. 10<BR>\n" );
document.write( " B. 12<BR>\n" );
document.write( " C. 18<BR>\n" );
document.write( " D. 20\r<BR>\n" );
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document.write( "How many angles would a regular polygon have if each exterior angle measures 5°? <BR>\n" );
document.write( " A. 36<BR>\n" );
document.write( " B. 37<BR>\n" );
document.write( " C. 72<BR>\n" );
document.write( " D. 74\r<BR>\n" );
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document.write( "It is possible for the exterior angles of a regular polygon to measure 30°. <BR>\n" );
document.write( " A. true<BR>\n" );
document.write( " B. false\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "It is possible for the interior angles of a regular polygon to measure 145°. <BR>\n" );
document.write( " A. true<BR>\n" );
document.write( " B. false\r<BR>\n" );
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document.write( "Calculate the measure for each exterior angle of a regular nonagon.<BR>\n" );
document.write( " A. 20°<BR>\n" );
document.write( " B. 40°<BR>\n" );
document.write( " C. 140°<BR>\n" );
document.write( " D. 1260°\r<BR>\n" );
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document.write( "Calculate the measure for each interior angle of a regular 15-gon. <BR>\n" );
document.write( " A. 12°<BR>\n" );
document.write( " B. 24°<BR>\n" );
document.write( " C. 156°<BR>\n" );
document.write( " D. 2340°\r<BR>\n" );
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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 #660 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> undecagon...means 1-10sided ie 11-sided. Learn Latin :-)\r<BR>\n" );
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document.write( "Interior angles...any shape can be split into triangles..a quadrilateral (any 4-sided figure) can be split into 2 triangles, so:\r<BR>\n" );
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document.write( "3-sided figure = 1 triangle, so interior angles add up to 180<BR>\n" );
document.write( "4-sided figure = 2 triangle, so interior angles add up to 360<BR>\n" );
document.write( "5-sided figure = 3 triangle, so interior angles add up to 540<BR>\n" );
document.write( "6-sided figure = 4 triangle, so interior angles add up to 720<BR>\n" );
document.write( "etc. No formula to learn, just understand that each shape can be made up of triangles... 40 sided figure is made up of 38 triangles therefore interior angles are 38x180 = 6840degrees.\r<BR>\n" );
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document.write( "Given an interior angle sum...divide it by 180. If you get a whole number then that is possible to have a polygon.\r<BR>\n" );
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document.write( "All in all, so many questions on polygons...learn the basics from your notes and try to answer them and then when you get really stuck and have looked in a textbook, come here and ask a specific question rather than just writing every question you got :-D\r<BR>\n" );
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document.write( "Enjoy maths - they are just puzzles with a definite answer.<BR>\n" );
document.write( "Jon.<BR>\n" );
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