document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248172>Question 248172</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me with angles? The two angles are complementary. The sum of the measure of the first angle and 1/4 of the second angle is 75 degrees. Find the measures of the angles.\r<BR>\n" );
document.write( "\n" );
document.write( "What is the measure of the smaller angle?<BR>\n" );
document.write( "What is the measure of the other angle?\r<BR>\n" );
document.write( "\n" );
document.write( "Can someone please explain this to me? any help is appreciated, Thanks<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180876 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The two angles are complementary. The sum of the measure of the first angle and 1/4 of the second angle is 75 degrees. Find the measures of the angles.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When two angles are complimentary, that just means that they add up to 90 degrees<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = an angle (the first angle)<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(90-x) = the other angle (second angle)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When it says,\"The sum of the measure of the first angle and 1/4 of the second angle is 75 degrees.\" we can write this<BR>\n" );
document.write( "x + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >(90-x) = 75<BR>\n" );
document.write( "solve this for x and we have one of the angles<BR>\n" );
document.write( "Multiply equation by 4 to get rid of the denominator, results<BR>\n" );
document.write( "4x + (90-x) = 4(75)<BR>\n" );
document.write( "4x - x + 90 = 300<BR>\n" );
document.write( "3x = 300 - 90<BR>\n" );
document.write( "3x = 210<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210%2F3 ALIGN=MIDDLE  ALT=\"210%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 70 degrees is the first angle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "90 - 70 = 20 degrees is the second angle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Now, I will let you answer the following questions<BR>\n" );
document.write( ":<BR>\n" );
document.write( "What is the measure of the smaller angle?<BR>\n" );
document.write( "What is the measure of the other angle?<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution in the statement<BR>\n" );
document.write( "\"The sum of the measure of the first angle and 1/4 of the second angle is 75 degrees.\"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You are right!  Merry Christmas to you and your family also!   Carl </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );