SOLUTION: Four times the complement of an angle is 20 degrees less than the measure of the angle. Find the measure of the angle.

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(39620) (Show Source): You can put this solution on YOUR website!
The angle measure, x.

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

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
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