document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466528>Question 466528</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there!:)\r<BR>\n" );
document.write( "\n" );
document.write( "I would like to ask some help with my word problem solving...If one could please help me with it..<BR>\n" );
document.write( "The problem is:<BR>\n" );
document.write( "The measure of an angle and its complement differ by 22. Find the angle and its complement.\r<BR>\n" );
document.write( "\n" );
document.write( "I would like to thank the one who would help me in advance!:D </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319826 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=319826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The problem is:<BR>\n" );
document.write( "The measure of an angle and its complement differ by 22. Find the angle and its complement.<BR>\n" );
document.write( "the answer is:<BR>\n" );
document.write( "if the angle is equal to x, then the complement of the angle is equal to 90 - x.<BR>\n" );
document.write( "that's because the sume of an angle plus its complement must always be equal to 90 degrees.<BR>\n" );
document.write( "the problem states that the angle and its complement differ by 22.<BR>\n" );
document.write( "this means that, if the angle is equal to x, then the angle's complement is either equal to x + 22, or x - 22.<BR>\n" );
document.write( "let's assume that the complement of the angle is equal to x + 22.<BR>\n" );
document.write( "since the angle plus its complement must always be equal to 90 degrees, then we get the equation:<BR>\n" );
document.write( "x + (x + 22) = 90<BR>\n" );
document.write( "this results in 2x + 22 = 90.<BR>\n" );
document.write( "subtract 22 from both sides of this equation to get:<BR>\n" );
document.write( "2x = 68<BR>\n" );
document.write( "divide both sides of this equation and you get x = 34.<BR>\n" );
document.write( "this makes x + 22 = 56<BR>\n" );
document.write( "the sum of 34 and 56 = 90 so we're good.<BR>\n" );
document.write( "let's assume that the complement of the angle is equal to x - 22.<BR>\n" );
document.write( "since the angle plus its complement must always be equal to 90 degrees, then we get the equation:<BR>\n" );
document.write( "x + (x - 22) = 90<BR>\n" );
document.write( "this results in 2x - 22 = 90.<BR>\n" );
document.write( "add 22 to both sides of this equation and you get 2x = 112<BR>\n" );
document.write( "divide both sides of this equation by 2 and you get x = 56<BR>\n" );
document.write( "this makes x - 22 = 34.<BR>\n" );
document.write( "the sum of 56 + 34 = 90 so we're good.<BR>\n" );
document.write( "either way you get an angle of 34 degrees and an angle of 56 degrees.<BR>\n" );
document.write( "if you pick your angle as being 34, then the complement is 56.<BR>\n" );
document.write( "if you pick your angle as being 56, then the complement is 34.<BR>\n" );
document.write( "the angle plus its complement must always be equal to 90 degrees.<BR>\n" );
document.write( "that's the rule that allows you to solve this problem.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );