document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=225137>Question 225137</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Recall that the sum of the measures of the angles of a triangle is 180 degrees.  In the triangle below, angle c has the same measure as angle b, and a measures 42 degrees less than angle b.  Find the measure of each angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #168075 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=168075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall that the sum of the measures of the angles of a triangle is 180 degrees.  In the triangle below, angle c has the same measure as angle b, and a measures 42 degrees less than angle b.  Find the measure of each angle.\r<BR>\n" );
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document.write( "Step 1.  Given c=b \r<BR>\n" );
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document.write( "Step 2.  a=b-42 since angle a measures 42 less than angle b.\r<BR>\n" );
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document.write( "Step 3.  Then, b-42+b+b=180 since c=b and the three angles add to 180 degrees.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b=222%7D%7D%0D%0A%0D%0A%0D%0A%7B%7B%7B3b%2F3=222%2F3 ALIGN=MIDDLE  ALT=\"3b=222%7D%7D%0D%0A%0D%0A%0D%0A%7B%7B%7B3b%2F3=222%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=74 ALIGN=MIDDLE  ALT=\"b=74\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=74 ALIGN=MIDDLE  ALT=\"c=74\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=74-42=32 ALIGN=MIDDLE  ALT=\"a=74-42=32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 4.  Check if the angles equal to 180...74+74+32=180 which it does.\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  Angle a is 32 degrees and angles b and c is each 74 degrees.\r<BR>\n" );
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document.write( "I hope the above steps and explanation were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV\r<BR>\n" );
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document.write( " </SPAN>\n" );
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