document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=220113>Question 220113</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the measures of the three angles of a triangle if the second angle is 7 less than twice the first angle and the sum of the second and third angle is 22 less than three times the first angle. Recall that the angles of a triangle have a sum of 180 degrees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165361 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165361\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the 1st angle be F<BR>\n" );
document.write( "Since the 2nd angle is 7 less than twice the 1st, then 2nd angle = 2F - 7\r<BR>\n" );
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document.write( "Let the 3rd angle be T<BR>\n" );
document.write( "Now, since the sum of the 2nd and 3rd angles is 22 less than three times the 1st, then we’ll have:\r<BR>\n" );
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document.write( "2F – 7 + T = 3F – 22. Solving for the 3rd angle, or T, we get:  T = 3F – 2F – 22 + 7, or T = F - 15\r<BR>\n" );
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document.write( "Now, since we have the 3 angles, we set an equation equal to 180 (angles of a triangle are supplementary), as follows:\r<BR>\n" );
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document.write( "F + 2F – 7 + F – 15 = 180\r<BR>\n" );
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document.write( "F + 2F + F = 180 + 7 + 15\r<BR>\n" );
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document.write( "4F  =  202\r<BR>\n" );
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document.write( "F  =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=202%2F4 ALIGN=MIDDLE  ALT=\"202%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50.5 ALIGN=MIDDLE  ALT=\"50.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, the 1st angle, or F = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2850.5%29 ALIGN=MIDDLE  ALT=\"highlight_green%2850.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The 2nd angle, or 2F – 7 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2894%29 ALIGN=MIDDLE  ALT=\"highlight_green%2894%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The 3rd angle, or F – 15 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2835.5%29 ALIGN=MIDDLE  ALT=\"highlight_green%2835.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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