document.write( "Question 243985: In any triangle, the sum of the measures of the angles is 180° . In ΔABC, ∢ A is three
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document.write( "times as large as ∢ B and also 16° larger than ∢ C. Find the measure of each angle. \n" );
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Algebra.Com's Answer #178617 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! a=first angle \n" ); document.write( "b=second angle \n" ); document.write( "c=third angle \n" ); document.write( "a=3b \n" ); document.write( "a=16+c \n" ); document.write( "solve for a \n" ); document.write( "b=a/3 \n" ); document.write( "c=a-16 \n" ); document.write( "a+b+c=180 \n" ); document.write( "substitute \n" ); document.write( "a+a/3+a-16=180 \n" ); document.write( "combine and reduce \n" ); document.write( "2a +a/3=196 \n" ); document.write( "divide by 2 \n" ); document.write( "a+a/6=98 \n" ); document.write( "multiply by 6 \n" ); document.write( "6a+a=6*98 \n" ); document.write( "7a=6*98 \n" ); document.write( "7a=588 \n" ); document.write( "a=588/7 \n" ); document.write( "a=84 \n" ); document.write( "b=a/3=28 \n" ); document.write( "c=a-16=84-16=68 \n" ); document.write( "check\r \n" ); document.write( "\n" ); document.write( "84+28+68=180 \n" ); document.write( "180=180 \n" ); document.write( " |