document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199233>Question 199233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two angles are complementary. The sum of the measure of the first angle and the one-fourth the second angel is 75º. Find the measures of the angles.\r<BR>\n" );
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document.write( "I know that two angles have to equal 90º. So do I take 1/4 of 75º = 18.75. 90-18.75 = 71.25. Would the angles be 75º, 18.75º & 71.25º? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149694 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=149694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the first angle, then (90-x) is the measure of the second angle, because the sum of these two complementary angles is 90 degrees.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%2890-x%29+=+90 ALIGN=MIDDLE  ALT=\"x%2B%2890-x%29+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The problem states that the sum of the first angle (x) and one fourth of the second angle (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%2890-x%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29%2890-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is 75 degrees, so you can write the equation to find x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%281%2F4%29%2890-x%29+=+75 ALIGN=MIDDLE  ALT=\"x%2B%281%2F4%29%2890-x%29+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply through by 4 to clear the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B%2890-x%29+=+300 ALIGN=MIDDLE  ALT=\"4x%2B%2890-x%29+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplfy the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B90+=+300 ALIGN=MIDDLE  ALT=\"3x%2B90+=+300\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 90 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+210 ALIGN=MIDDLE  ALT=\"3x+=+210\"   DISABLED_style= \"max-width:90%; height:auto;\" > Finally, divide both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+70 ALIGN=MIDDLE  ALT=\"x+=+70\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees, and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90-x+=+20 ALIGN=MIDDLE  ALT=\"90-x+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >degrees.<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%281%2F4%29%2890-x%29+=+75 ALIGN=MIDDLE  ALT=\"x%2B%281%2F4%29%2890-x%29+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 70.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2B%281%2F4%29%2890-70%29+=+75 ALIGN=MIDDLE  ALT=\"70%2B%281%2F4%29%2890-70%29+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2B%281%2F4%29%2820%29+=+75 ALIGN=MIDDLE  ALT=\"70%2B%281%2F4%29%2820%29+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%2B5+=+75 ALIGN=MIDDLE  ALT=\"70%2B5+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=75+=+75 ALIGN=MIDDLE  ALT=\"75+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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