document.write( "Question 243985: In any triangle, the sum of the measures of the angles is 180° . In ΔABC, ∢ A is three
\n" ); document.write( "times as large as ∢ B and also 16° larger than ∢ C. Find the measure of each angle.
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Algebra.Com's Answer #178617 by richwmiller(17219)\"\" \"About 
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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( "
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