document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632601>Question 632601</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what kind of angle pair are the acute angles of a right triangle?<BR>\n" );
document.write( "What is the measuire of the smallest angle in an isosceles right triangle?<BR>\n" );
document.write( "The ratio of the angles of a triangle is 1:2:3.What are the measures of the angles ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398591 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What kind of angle pair are the the acute angles of a right triangle?<BR>\n" );
document.write( "The expected answer must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28complementary%29 ALIGN=MIDDLE  ALT=\"highlight%28complementary%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Because their measures plus the measure of the right angle must add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "the measures of the acute angles must add up to a right angle (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo-90%5Eo=90%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo-90%5Eo=90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > in degrees or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in radians).<BR>\n" );
document.write( "A pair of angles that add up to a right angle is called complementary, so the acute angles of a right triangle are complementary.<BR>\n" );
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document.write( "What is the measure of the smallest angle in an isosceles right triangle?<BR>\n" );
document.write( "Besides its right angle, an isosceles right triangle has two congruent acute angles opposite congruent legs. Because their measures must add up to a right angle (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" >), each of those acute angles measures <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2845%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%2845%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28pi%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28pi%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in radians).<BR>\n" );
document.write( " <BR>\n" );
document.write( "The ratio of the angles of a triangle is 1:2:3.What are the measures of the angles ?<BR>\n" );
document.write( "The largest angle must be the right angle. If the angles are in the ratio 1:2:3,<BR>\n" );
document.write( "their measures would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=90%5Eo ALIGN=MIDDLE  ALT=\"3x=90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=90%5Eo%2F3 ALIGN=MIDDLE  ALT=\"x=90%5Eo%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=30%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%28x=30%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=2%2A30%5Eo ALIGN=MIDDLE  ALT=\"2x=2%2A30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282x=60%5Eo%29 ALIGN=MIDDLE  ALT=\"highlight%282x=60%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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