document.write( "Question 243203: 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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\n" ); document.write( "In any triangle, the sum of the measures of the angles is 180° . In ΔABC, ∢ A is twice as
\n" ); document.write( "large as ∢ B. ∢ B is 4° larger than ∢ C. Find the measure of each angle.
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Algebra.Com's Answer #178202 by oberobic(2304)\"\" \"About 
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The setup of the problem tells us:
\n" ); document.write( "A + B + C = 180
\n" ); document.write( "A = 3B, so B = A/3
\n" ); document.write( "A = C+16, C = A-16
\n" ); document.write( "Substitute into basic formula:
\n" ); document.write( "A + A/3 + A-16 = 180
\n" ); document.write( "2A + A/3 = 196
\n" ); document.write( "Getting rid of the fractional A is next:
\n" ); document.write( "\"%0D%0A2A+=+%286%2F3%29A%0D%0A\"
\n" ); document.write( "...
\n" ); document.write( "So we have:
\n" ); document.write( "\"%0D%0A%286%2F3%29A+%2B+A%2F3+=+%286%2F3%29A+%2B+%281%2F3%29A+=+%287%2F3%29A+=+196%0D%0A\"
\n" ); document.write( "Which can be simplified by multiplying both sides by 3.
\n" ); document.write( "7A = 3*196 = 588
\n" ); document.write( "Dividing both sides by 7, we have:
\n" ); document.write( "A = 84
\n" ); document.write( "...
\n" ); document.write( "Looking back to the equations we define:
\n" ); document.write( "B = A/3 = 84/3 = 28
\n" ); document.write( "and
\n" ); document.write( "C = A-16 = 68
\n" ); document.write( "...
\n" ); document.write( "To summarize:
\n" ); document.write( "A = 84
\n" ); document.write( "B = 28
\n" ); document.write( "C = 68
\n" ); document.write( "...
\n" ); document.write( "To check your work, check the solution to the fundamental equation.
\n" ); document.write( "Does A + B + C = 180?
\n" ); document.write( "84 + 28 + 68 = 180
\n" ); document.write( "So we have our answer.
\n" ); document.write( "...
\n" ); document.write( "Follow these same steps to answer your 2nd question.
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