SOLUTION: five times the complement of an angle less twice the angle's supplement is 40 degrees. find the measure of the supplement.

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Question 158617: five times the complement of an angle less twice the angle's supplement is 40 degrees. find the measure of the supplement.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
five times the complement of an angle less twice the angle's supplement is 40 degrees. find the measure of the supplement.
:
Let x = "the angle"
Then
(90-x) = the Complement of the angle
and
(180-x) = the Supplement of the angle
;
Just write what it says:
5(90-x) - 2(180-x) = 40
:
450 - 5x - 360 + 2x = 40; change the sign inside the bracket
:
-5x + 2x + 90 = 40
:
-3x = 40 - 90
:
-3x = -50
x = %28-50%29%2F%28-3%29
x = +162%2F3 degrees
:
Find the supplement:
180 - 162%2F3 = 1631%2F3 degrees
:
:
You can check the solution in the original equation