document.write( "Question 365044: The sum of the measures of the angles in any triangle is 180°. Paula 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° less than twice the smallest, find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #260277 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The sum of the measures of the angles in any triangle is 180°. Paula 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° less than twice the smallest, find the measure of each angle. \n" ); document.write( ". \n" ); document.write( "Let x = 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 = 200 \n" ); document.write( "x = 25 degrees (smallest angle) \n" ); document.write( ". \n" ); document.write( "Largest angle: \n" ); document.write( "5x = 5(25) = 125 degrees \n" ); document.write( ". \n" ); document.write( "Middle angle: \n" ); document.write( "2x-20 = 2(25)-20 = 50-20 = 30 degrees \n" ); document.write( " \n" ); document.write( " |