document.write( "Question 730192: The sum of the measures of the angles in any triangle is 180°. Jacqueline has a triangular area in her back yard where she intends to create a garden. If the largest angle is five times the smallest and the middle angle is 20° more than twice the smallest, find the measure of each angle. (It may help to draw the triangle and label each angle.) \n" ); document.write( "
Algebra.Com's Answer #446549 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The sum of the measures of the angles in any triangle is 180°. Jacqueline has a triangular area in her back yard where she intends to create a garden. If the largest angle is five times the smallest and the middle angle is 20° more than twice the smallest, find the measure of each angle. (It may help to draw the triangle and label each angle.) \n" ); document.write( ". \n" ); document.write( "Let x = measure of smallest angle \n" ); document.write( "then \n" ); document.write( "5x = largest angle \n" ); document.write( "2x+20 = middle angle \n" ); document.write( ". \n" ); document.write( "x + 5x + 2x+20 = 180 \n" ); document.write( "8x+20 = 180 \n" ); document.write( "8x = 160 \n" ); document.write( "x = 20 degrees (smallest angle) \n" ); document.write( ". \n" ); document.write( "largest angle: \n" ); document.write( "5x = 5(20) = 100 degrees \n" ); document.write( ". \n" ); document.write( "middle angle: \n" ); document.write( "2x+20 = 2(20)+20 = 40+20 = 60 degrees \n" ); document.write( " \n" ); document.write( " |