document.write( "Question 156724: the size of the smallest angle of a triangle is 30% of the size of the largest angle.the size of the third angle is 20 degrees more than the smallest angle. Fund the size of each angle. \n" ); document.write( "
Algebra.Com's Answer #115561 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! the size of the smallest angle of a triangle is 30% of the size of the largest angle.the size of the third angle is 20 degrees more than the smallest angle. Fund the size of each angle. \n" ); document.write( ". \n" ); document.write( "Let x = largest angle \n" ); document.write( "then from:\"smallest angle of a triangle is 30% of the size of the largest angle\" \n" ); document.write( ".30x = smallest angle \n" ); document.write( "and from:\"20 degrees more than the smallest angle\" \n" ); document.write( ".30x+20 = 3rd angle \n" ); document.write( ". \n" ); document.write( "You're also suppose to know that the sum of the three interior angles of any triangle is 180: \n" ); document.write( "x + .30x + .30x+20 = 180 \n" ); document.write( "1.6x + 20 = 180 \n" ); document.write( "1.6x = 160 \n" ); document.write( "x = 160/1.6 \n" ); document.write( "x = 100 deg (largest angle) \n" ); document.write( ". \n" ); document.write( "smallest angle: \n" ); document.write( ".30x = .30(100) = 30 deg \n" ); document.write( ". \n" ); document.write( "third angle: \n" ); document.write( ".30x+20 = .30(100) + 20 = 50 deg \n" ); document.write( " \n" ); document.write( " |