SOLUTION: Four times the complement of an angle is 20 degrees less than the measure of the angle. Find the measure of the angle.
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Question 898787: Four times the complement of an angle is 20 degrees less than the measure of the angle. Find the measure of the angle. Found 2 solutions by josgarithmetic, MathTherapy:Answer by josgarithmetic(39618) (Show Source):
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Four times the complement of an angle is 20 degrees less than the measure of the angle. Find the measure of the angle.
Let the measure of the angle be A
Then its complement is: 90 - A
Therefore, 4(90 - A) = A - 20
360 - 4A = A - 20
- 4A - A = - 20 - 360
- 5A = - 380
A, or measure of angle = , or