document.write( "Question 243203: 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.
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document.write( "In any triangle, the sum of the measures of the angles is 180° . In ΔABC, ∢ A is twice as
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document.write( "large as ∢ B. ∢ B is 4° larger than ∢ C. Find the measure of each angle. \n" );
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Algebra.Com's Answer #178202 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! 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( " \n" ); document.write( "... \n" ); document.write( "So we have: \n" ); document.write( " \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. \n" ); document.write( " |