document.write( "Question 267743: the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of the measures of the smaller 2 angles is 10 degrees more than the largest angle. find the measure of each angle \n" ); document.write( "
Algebra.Com's Answer #196399 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the largest angle in a triangle is 50 degrees more than the smallest angle. the sum of the measures of the smaller 2 angles is 10 degrees more than the largest angle. find the measure of each angle \n" ); document.write( "---------------------- \n" ); document.write( "Let the smallest angle = x \n" ); document.write( "Then largest = x+50 \n" ); document.write( "--- \n" ); document.write( "x + 2nd = x+50+10 \n" ); document.write( "So 2nd = 60 \n" ); document.write( "======================== \n" ); document.write( "Equation: \n" ); document.write( "x + 60 + x+50 = 180 \n" ); document.write( "2x + 110 = 180 \n" ); document.write( "2x = 70 \n" ); document.write( "x = 35 (smallest) \n" ); document.write( "2nd = 60 degrees \n" ); document.write( "x+50 = 85 degrees \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "------- \n" ); document.write( " \n" ); document.write( " |