document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396756>Question 396756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this is the question i need answered:\r<BR>\n" );
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document.write( "-The isosceles trapezoid is part of an isosceles triangle with a 46\" degree vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse angle? The diagram is not to scale.\r<BR>\n" );
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document.write( "(then it shows a triangle with a midsegment and thats all.)\r<BR>\n" );
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document.write( "PLEASE HELP ME! <BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281381 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20056)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=281381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's draw it to scale. Here's the trapezoid:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C.5%2C-.05%2C.95%2C%0D%0A%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2Ccos%2867%2Api%2F180%29%2C0%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C-.220941202%2C.4%29%2C%0D%0A%0D%0Aline%28cos%2867%2Api%2F180%29%2C0%2C.220941202%2C.4%29%2C%0D%0A%0D%0A%0D%0A%0D%0Aline%28-.220941202%2C.4%2C.220941202%2C.4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and here is the rest of the isosceles triangle, of<BR>\n" );
document.write( "which the isosceles trapezoid is a part:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C.5%2C-.05%2C.95%2C%0D%0A%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2Ccos%2867%2Api%2F180%29%2C0%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C-.220941202%2C.4%29%2C%0D%0A%0D%0Aline%28cos%2867%2Api%2F180%29%2C0%2C.220941202%2C.4%29%2C%0D%0Alocate%28-.016%2C.8%2C%2246%B0%22%29%2C%0D%0Atriangle%28-cos%2867%2Api%2F180%29%2C0%2Ccos%2867%2Api%2F180%29%2C0%2C0%2Csin%2867%2Api%2F180%29%29%2C%0D%0A%0D%0Aline%28-.220941202%2C.4%2C.220941202%2C.4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next we draw the midsegment, which splits the figure in<BR>\n" );
document.write( "half.  It splits the 46° vertex angle into two 23° angles,\r<BR>\n" );
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document.write( "and the green line is perpendicular to both bases of<BR>\n" );
document.write( "the trapezoid:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C.5%2C-.05%2C.95%2C%0D%0Arectangle%28-.04%2C0%2C0%2C.04%29%2C+rectangle%28-.04%2C.4%2C0%2C.44%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2Ccos%2867%2Api%2F180%29%2C0%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C-.220941202%2C.4%29%2C%0D%0A%0D%0Aline%28cos%2867%2Api%2F180%29%2C0%2C.220941202%2C.4%29%2C%0D%0Alocate%28-.06%2C.77%2C%2223%B0%22%29%2C%0D%0Atriangle%28-cos%2867%2Api%2F180%29%2C0%2Ccos%2867%2Api%2F180%29%2C0%2C0%2Csin%2867%2Api%2F180%29%29%2C%0D%0Agreen%28line%280%2C0%2C0%2Csin%2867%2Api%2F180%29%29%29%2C%0D%0Aline%28-.220941202%2C.4%2C.220941202%2C.4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we'll just look at the left half, which is a right triangle,<BR>\n" );
document.write( "actually two right triangles:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C.5%2C-.05%2C.95%2C%0D%0Arectangle%28-.04%2C0%2C0%2C.04%29%2C+rectangle%28-.04%2C.4%2C0%2C.44%29%2C%0D%0A%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C0%2C0%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C-.220941202%2C.4%29%2C%0D%0A%0D%0Alocate%28-.06%2C.77%2C%2223%B0%22%29%2C%0D%0Atriangle%28-cos%2867%2Api%2F180%29%2C0%2C0%2C0%2C0%2Csin%2867%2Api%2F180%29%29%2C%0D%0Agreen%28line%280%2C0%2C0%2Csin%2867%2Api%2F180%29%29%29%2C%0D%0Aline%28-.220941202%2C.4%2C0%2C.4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the two acute angles of a right triangle are complementary,<BR>\n" );
document.write( "the other acute angle in both right triangles is \r<BR>\n" );
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document.write( "90°-23° or 67°:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C.5%2C-.05%2C.95%2C%0D%0Arectangle%28-.04%2C0%2C0%2C.04%29%2C+rectangle%28-.04%2C.4%2C0%2C.44%29%2C%0D%0A%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C0%2C0%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C-.220941202%2C.4%29%2C%0D%0Alocate%28-.35%2C.05%2C%2267%B0%22%29%2Clocate%28-.18%2C.45%2C%2267%B0%22%29%2C%0D%0A%0D%0Alocate%28-.06%2C.77%2C%2223%B0%22%29%2C%0D%0Atriangle%28-cos%2867%2Api%2F180%29%2C0%2C0%2C0%2C0%2Csin%2867%2Api%2F180%29%29%2C%0D%0Agreen%28line%280%2C0%2C0%2Csin%2867%2Api%2F180%29%29%29%2C%0D%0Aline%28-.220941202%2C.4%2C0%2C.4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the angle supplementary to the upper 67° angle is 180°-67° = 113°\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C.5%2C-.05%2C.95%2C%0D%0Arectangle%28-.04%2C0%2C0%2C.04%29%2C+rectangle%28-.04%2C.4%2C0%2C.44%29%2C%0D%0A%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C0%2C0%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C-.220941202%2C.4%29%2C%0D%0Alocate%28-.35%2C.05%2C%2267%B0%22%29%2Clocate%28-.18%2C.45%2C%2267%B0%22%29%2C%0D%0A%0D%0Alocate%28-.06%2C.77%2C%2223%B0%22%29%2C+locate%28-.21%2C.37%2C%22113%B0%22%29%2C%0D%0Atriangle%28-cos%2867%2Api%2F180%29%2C0%2C0%2C0%2C0%2Csin%2867%2Api%2F180%29%29%2C%0D%0Agreen%28line%280%2C0%2C0%2Csin%2867%2Api%2F180%29%29%29%2C%0D%0Aline%28-.220941202%2C.4%2C0%2C.4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So therefore the original isosceles trapezoid has an acute<BR>\n" );
document.write( "angle of 67° and an obtuse angle of 113°: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-.5%2C.5%2C-.05%2C.95%2C%0D%0A%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2Ccos%2867%2Api%2F180%29%2C0%29%2C%0D%0Aline%28-cos%2867%2Api%2F180%29%2C0%2C-.220941202%2C.4%29%2C%0D%0A%0D%0Aline%28cos%2867%2Api%2F180%29%2C0%2C.220941202%2C.4%29%2C%0D%0Alocate%28-.21%2C.37%2C%22113%B0%22%29%2C+locate%28-.35%2C.05%2C%2267%B0%22%29%2C%0D%0A%0D%0A%0D%0A%0D%0Aline%28-.220941202%2C.4%2C.220941202%2C.4%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );