document.write( "Question 1106049: The largest angle in a triangle is 6 more than 5 times the smallest angle. The difference of 2 times the largest angle and 4 times the smallest angle is 92°. Determine the smallest angle. \n" ); document.write( "
Algebra.Com's Answer #721002 by addingup(3677) You can put this solution on YOUR website! Large angle: a \n" ); document.write( "Small angle: b \n" ); document.write( "a = 5b+6 \n" ); document.write( "2a-4b = 92 \n" ); document.write( "substitute for a: \n" ); document.write( "2(5b+6)-4b = 92 \n" ); document.write( "10b+12-4b = 92 \n" ); document.write( "6b = 80 \n" ); document.write( "b = 13.3333 \n" ); document.write( "a = 5b+6 = 72.6665 \n" ); document.write( "--------------------------------- \n" ); document.write( "Check: \n" ); document.write( "2a-4b = 92 \n" ); document.write( "2(72.6665)-4(13.3333) = 92 Correct \n" ); document.write( " \n" ); document.write( " |