document.write( "Question 346039: Please help me solve: One angle of a triangle is 3 times as large as another. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #247510 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! One angle of a triangle is 3 times as large as another. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of each angle. \n" ); document.write( ". \n" ); document.write( "Let x = smallest angle \n" ); document.write( "then \n" ); document.write( "3x = largest angle \n" ); document.write( "x+40 = third angle \n" ); document.write( ". \n" ); document.write( "x + 3x + x+40 = 180 \n" ); document.write( "5x + 40 = 180 \n" ); document.write( "5x = 140 \n" ); document.write( "x = 140/5 \n" ); document.write( "x = 28 degs (smallest) \n" ); document.write( ". \n" ); document.write( "Largest: \n" ); document.write( "3x = 3(28) = 84 degs \n" ); document.write( ". \n" ); document.write( "Third: \n" ); document.write( "x+40 = 28+40 = 68 degs \n" ); document.write( " \n" ); document.write( " |