document.write( "Question 74520This question is from textbook intermediate algebra
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document.write( ": hi can someone please help me. Thanks in advance.\r
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document.write( "The sum of the measures of the angeles of any triangle is 180 degress. In triangle ABC, angle A measures 100 degress less than the sum of the measures of angle B and angles C, and the measure of C is 40 degres less than the twice the measure of angeles B. Find the measure of each angle of the triangle. \n" );
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Algebra.Com's Answer #53489 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x= the measure of angle B\r \n" ); document.write( "\n" ); document.write( "Then (2x-40)=the measure of angle C \n" ); document.write( "{x+(2x-40)}=the sum of the measures of angles B and C \n" ); document.write( "So {x+(2x-40)}-100=the measure of angle A\r \n" ); document.write( "\n" ); document.write( "Then our equation to solve is\r \n" ); document.write( "\n" ); document.write( "A+B+C=180 or\r \n" ); document.write( "\n" ); document.write( "x+(2x-40)+{x+(2x-40)}-100=180 get rid of parens and brackets\r \n" ); document.write( "\n" ); document.write( "x+2x-40+x+2x-40-100=180 collect like terms \n" ); document.write( "6x-180=180 add 180 to both sides\r \n" ); document.write( "\n" ); document.write( "6x=360 divide both sides by 6 \n" ); document.write( "x=60 degrees---------------------------the measure of angle B\r \n" ); document.write( "\n" ); document.write( "2x-40=120-40=80 degrees---------------------the measure of angle C\r \n" ); document.write( "\n" ); document.write( "x+2x-40-100=180-140=40 degrees ---------------the measure of angle A\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "60+80+40=180 \n" ); document.write( "180=180 \n" ); document.write( "measure of C is 40 degrees less than the twice the measure of angle B. \n" ); document.write( "2*60-40=80 \n" ); document.write( "80=80 \n" ); document.write( "angle A measures 100 degress less than the sum of the measures of angle B and angle C \n" ); document.write( "60+80-100=40 \n" ); document.write( "40=40\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hoe this helps----ptaylor\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |