document.write( "Question 72576: The measures of the angles of a triangle are 3x, 2x-10, and x+40 degrees. Find the number of degrees in the difference between the measures of largest and smallest angles.\r
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document.write( "I tried:
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document.write( "2x-10=0
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document.write( "2x=10
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document.write( "x=10/2
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document.write( "x=5\r
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document.write( "And after that I replaced x by 5. My answer is 3*5=15, (2*5)-10=0, and 5+40=45.
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document.write( "Then, the difference between 45 an 0 is 45°
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Algebra.Com's Answer #51887 by checkley75(3666)![]() ![]() ![]() You can put this solution on YOUR website! The sum of the 3 angles equal 180 thus: \n" ); document.write( "3x+2x-10+x+40=180 no combine the x values and the numbers thus: \n" ); document.write( "6x=180-40+10 \n" ); document.write( "6x=150 \n" ); document.write( "x=150/6 \n" ); document.write( "x=25 thus the angles are: \n" ); document.write( "3*25=75 \n" ); document.write( "2*25-10=50-10=40 \n" ); document.write( "25+40=65 \n" ); document.write( "thus the smallest angle is 40 \n" ); document.write( "the largest is 75 \n" ); document.write( "so the difference is \n" ); document.write( "75-40=35 \n" ); document.write( "proof \n" ); document.write( "75+40+65=180 \n" ); document.write( "180=180 \n" ); document.write( " |