SOLUTION: The supplement of an angle is 60 degrees less than twice the supplement of the compliment. Find the complement. Thank you for your help!

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Question 992150: The supplement of an angle is 60 degrees less than twice the supplement of the compliment. Find the complement. Thank you for your help!
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let  x  be the measure of the given angle in degrees.

Then the supplement angle is  (180° - x).

The complement angle is  (90° -x),
and the supplement to the complement angle is   180°-(90°-x) = 90°+x.

So you have an equation

(180-x) + 60 = 2*(90+x).

Simplify and solve it:

180 - x + 60 = 180 + 2x,

3x = 60,

x = 20°.


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

The supplement of an angle is 60 degrees less than twice the supplement of the compliment. Find the complement. Thank you for your help!
Complement: highlight_green%2870%5Eo%29