document.write( "Question 336201: In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 15 degrees less than that of angle C. Find the measure of the angles. \r
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document.write( "A) 117, 24, 39
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document.write( "B) 78, 24, 39
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document.write( "C) 78, 24, 78
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document.write( "D) 117, 24, 78\r
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document.write( "I have come up with A= 3x, B=15-x, C=x \n" );
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Algebra.Com's Answer #241070 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 15 degrees less than that of angle C. Find the measure of the angles. \n" ); document.write( "--- \n" ); document.write( "A = 3C \n" ); document.write( "B = C-15 \n" ); document.write( "A + B + C = 180 \n" ); document.write( "--- \n" ); document.write( "Substitute for A and for B and solve for C: \n" ); document.write( "3C + C-15 + C = 180 \n" ); document.write( "5C = 195 \n" ); document.write( "C = 39 degrees \n" ); document.write( "A = 3C = 3*39 = 117 degrees \n" ); document.write( "B = C-15 = 39-15 = 24 degrees \n" ); document.write( "------------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------------------ \n" ); document.write( "A) 117, 24, 39 \n" ); document.write( "B) 78, 24, 39 \n" ); document.write( "C) 78, 24, 78 \n" ); document.write( "D) 117, 24, 78 \n" ); document.write( " |