SOLUTION: 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.

Algebra ->  Angles -> SOLUTION: 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.       Log On


   

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.
Answer by nerdybill(7384) About Me  (Show Source):
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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.
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Let x = the angle that the ladder makes with the wall
then
x+22 = angle between the ladder and the ground
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x + x+22 + 90 = 180
x + x+22 = 90
2x+22 = 90
2x = 68
x = 34 degrees (the angle that the ladder makes with the wall)
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angle between the ladder and the ground:
x+22 = 34+22 = 56 degrees