document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161599>Question 161599</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is a worksheet and we have no book so will you please help.<BR>\n" );
document.write( "In triangle XYZ, XY=~YZ.  If m angleX=52, find m angle Y.  We have to show our work.\r<BR>\n" );
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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 #119121 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=119121\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> triangle xyz<BR>\n" );
document.write( "xy = yz<BR>\n" );
document.write( "angle x = 52 degrees.<BR>\n" );
document.write( "draw triangle with x on the left, y on top, z on the right.<BR>\n" );
document.write( "xy is line going up from left to right.<BR>\n" );
document.write( "yz is line going down from left to right.<BR>\n" );
document.write( "angle x is the angle in the left hand corner of the triangle.<BR>\n" );
document.write( "this is an isosceles triangle because 2 sides are equal (congruent).<BR>\n" );
document.write( "in an isosceles triangle the base angles are equal.<BR>\n" );
document.write( "these are the angles opposite the equal sides.<BR>\n" );
document.write( "angle x is opposite yz<BR>\n" );
document.write( "angle z is opposite xy<BR>\n" );
document.write( "angle z is therefore equal to angle x is equal to 52 degrees.<BR>\n" );
document.write( "since the sum of the interior angles of a triangle is always 180, then angle y must be equal to 180 - angle x - angle z.<BR>\n" );
document.write( "this becomes angle y = 180 - 2*52 = 180 - 104 = 76.<BR>\n" );
document.write( "angle y must be 76 degrees.<BR>\n" );
document.write( "to prove add all 3 angles of the triangle and they must equal 180 degrees.<BR>\n" );
document.write( "52 + 52 + 76 = 180.<BR>\n" );
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document.write( "angle y is 76 degrees.<BR>\n" );
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