SOLUTION: The supplement of an angle measures 40" more than twice its complement. Find the measure of the angle.

Question 292970: The supplement of an angle measures 40" more than twice its complement. Find the measure of the angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Assume you mean 40 degrees, not 40 seconds
The supplement of an angle measures 40 degrees more than twice its complement.
Find the measure of the angle.
:
Let x = the angle
then
(90-x) = it's complement
and
(180-x) = it's supplement
:
Write an equation for the statement:
"The supplement of an angle measures 40 degrees more than twice its complement."
180 - x = 2(90-x) + 40
:
180 - x = 180 - 2x + 40
:
-x + 2x = 180 - 180 + 40
:
x = 40 degrees
:
:
Check solution in the statement
The supplement of an angle measures 40 degrees more than twice its complement.
180 - 40 = 2(90-40) + 40
140 = 2(50) + 40
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