SOLUTION: Find the measure of the given angles. An angle whose supplement is 20" more than twice it's compliment.

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Question 449958: Find the measure of the given angles.
An angle whose supplement is 20" more than twice it's compliment.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find the measure of the given angles.
An angle whose supplement is 20" more than twice it's compliment.
assume you mean degrees, not seconds here
:
Let x = "the angle"
then
(90-x) = it's compliment
and
180-x) = it's supplement
:
Write an equation for the statement:
"An angle whose supplement is 20" more than twice it's compliment."
(180-x) = 2(90-x) + 20
180 - x = 180 - 2x + 20
-x + 2x = 180 - 180 + 20
x = 20 degrees is the angle
:
:
see if that works
(180-20) = 2(90-20) + 20
160 = 2(70) + 20