document.write( "Question 897064: A ladder leans against a wall. The angle between the ladder and the ground is 22 degrees more than the angle that the ladder makes with the wall. Find the measure of each angle. \n" ); document.write( "
Algebra.Com's Answer #543963 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A ladder leans against a wall. The angle between the ladder and the ground is 22 degrees more than the angle that the ladder makes with the wall. Find the measure of each angle. \n" ); document.write( ". \n" ); document.write( "Let x = the angle that the ladder makes with the wall \n" ); document.write( "then \n" ); document.write( "x+22 = angle between the ladder and the ground \n" ); document.write( ". \n" ); document.write( "x + x+22 + 90 = 180 \n" ); document.write( "x + x+22 = 90 \n" ); document.write( "2x+22 = 90 \n" ); document.write( "2x = 68 \n" ); document.write( "x = 34 degrees (the angle that the ladder makes with the wall) \n" ); document.write( ". \n" ); document.write( "angle between the ladder and the ground: \n" ); document.write( "x+22 = 34+22 = 56 degrees \n" ); document.write( " |