document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139950>Question 139950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5.	Which two triangles are similar?\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 #102005 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=102005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, we need to find the missing angles of each triangle. \r<BR>\n" );
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document.write( "For the first triangle, first add up the two given angles 69 and 48 to get \r<BR>\n" );
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document.write( "Now subtract 117 from 180 to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-117=63 ALIGN=MIDDLE  ALT=\"180-117=63\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the first triangle has these angles\r<BR>\n" );
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document.write( "For the second triangle, first add up the two given angles 63 and 48 to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63%2B48=111 ALIGN=MIDDLE  ALT=\"63%2B48=111\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now subtract 111 from 180 to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-111=69 ALIGN=MIDDLE  ALT=\"180-111=69\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the second triangle has these angles\r<BR>\n" );
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document.write( "For the third triangle, first add up the two given angles 63 and 48 to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=63%2B78=141 ALIGN=MIDDLE  ALT=\"63%2B78=141\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now subtract 111 from 180 to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-141=39 ALIGN=MIDDLE  ALT=\"180-141=39\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the third triangle has these angles\r<BR>\n" );
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document.write( "Summary:\r<BR>\n" );
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document.write( "So the three triangles have these angles\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "Remember, similar triangles have equal angles. From the figure, we can see that triangles a) and b) have equal angles. So triangles a) and b) are similar triangles.<BR>\n" );
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