document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=538947>Question 538947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The measure of one acute angle in a right triangle is four times the measure of other acute angle. Write and solve a system of equations to find the measures of the acute angles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #353291 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=353291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the smaller acute angle x and the larger y<P><BR>\n" );
document.write( "y=4x<P><BR>\n" );
document.write( "The sum of the interior angles in a triangle is 180 so<P><BR>\n" );
document.write( "x+y+90=180 and thus x+y=90.<P><BR>\n" );
document.write( "Solve by substitution.<P><BR>\n" );
document.write( "y=4x so<P><BR>\n" );
document.write( "x+4x=90<BR>\n" );
document.write( "5x=90<BR>\n" );
document.write( "x=18<P><BR>\n" );
document.write( "y=4x=4(18)=72<BR>\n" );
document.write( "<P><B>If you need help understanding math so you can solve these problems yourself, then one on one online tutoring is the answer ($30/hr).  If you need faster solutions with guaranteed detailed answers, then go with personal problem solving ($3.50-$5.50 per problem).  Contact me at fcabanski@hotmail.com</B><P><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );