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)\"\" \"About 
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( "
\n" );