document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116536>Question 1116536</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. Using geometry terms, identify what the side road would be called?\r<BR>\n" );
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document.write( "b. Identify the vertical angles, linear pair angles, and supplementary angles and explain your reasoning.\r<BR>\n" );
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document.write( "c. A fourth road is going to be constructed. Is there a way it could be placed to create complementary angles? Explain.\r<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 #732318 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=732318\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this looks like 2 parallel lines cut by a transversal.\r<BR>\n" );
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document.write( "consider the roads to be very fat lines.\r<BR>\n" );
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document.write( "the main road is the transversal.\r<BR>\n" );
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document.write( "the two side roads are parallel to each other.\r<BR>\n" );
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document.write( "vertical angles would be:\r<BR>\n" );
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document.write( "1 and 4<BR>\n" );
document.write( "2 and 3<BR>\n" );
document.write( "5 and 8<BR>\n" );
document.write( "6 and 7\r<BR>\n" );
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document.write( "linear pairs would be:\r<BR>\n" );
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document.write( "1 and 3<BR>\n" );
document.write( "2 and 4<BR>\n" );
document.write( "5 and 7<BR>\n" );
document.write( "6 and 8<BR>\n" );
document.write( "1 and 2<BR>\n" );
document.write( "3 and 4<BR>\n" );
document.write( "5 and 6<BR>\n" );
document.write( "7 and 8\r<BR>\n" );
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document.write( "supplementary angles would be:\r<BR>\n" );
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document.write( "3 and 5<BR>\n" );
document.write( "4 and 6\r<BR>\n" );
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document.write( "these are in additional to the linear pairs which are also supplementary.\r<BR>\n" );
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document.write( "congruent angles would be:\r<BR>\n" );
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document.write( "1 and 5<BR>\n" );
document.write( "3 and 7<BR>\n" );
document.write( "2 and 6<BR>\n" );
document.write( "4 and 8\r<BR>\n" );
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document.write( "these are in additional to the vertical angles which are also congruent.\r<BR>\n" );
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document.write( "all the angles formed by parallel lines are either congruent or supplementary.\r<BR>\n" );
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document.write( "here's a reference on parallel lines.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.varsitytutors.com/hotmath/hotmath_help/topics/transversal \" target = \"_blank\">https://www.varsitytutors.com/hotmath/hotmath_help/topics/transversal</a>\r<BR>\n" );
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document.write( "to create complementary angles, you need to make a road that is cut in such a way that the angles formed can be summed up to be 90 degrees.\r<BR>\n" );
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document.write( "90 degrees angles are made by roads that are perpendicular to each other.\r<BR>\n" );
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document.write( "if you make a fourth road that is perpendicular to the main road, or perpendicular to the two side roads, it will form right triangle.\r<BR>\n" );
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document.write( "the acute angles of the triangles will be complementary because their sum will be 90 degrees.\r<BR>\n" );
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document.write( "here's my diagram or your roads, followed by a diagram of your roads shown as solid lines.\r<BR>\n" );
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document.write( "both diagrams shows the fourth road perpendicular to the two side roads which are parallel to each other.\r<BR>\n" );
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document.write( "the triangle formed is a right triangle with one 90 degree angle and the other two angles of the triangle being complementary to each other.\r<BR>\n" );
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document.write( "sum of the angles of a triangle is 180 degrees.<BR>\n" );
document.write( "right angle is 90.<BR>\n" );
document.write( "that leave 90 for the other two angles, making them complementary to each other.\r<BR>\n" );
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