SOLUTION: The supplement of an angle is 122 degrees less than 3 times the supplement of the complement of the angle. Find the measure of the angle.

Question 898688: The supplement of an angle is 122 degrees less than 3 times the supplement of the complement of the angle. Find the measure of the angle.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The supplement of an angle is 122 degrees less than 3 times the supplement of the complement of the angle. Find the measure of the angle.
:
let A = the angle
:
Try to write an equation for exactly what it says, then solve for A
180 - A = 3(180 - (90-A)) - 122
180 - A = 3(180 - 90 + A) - 122
180 - A = 3(90 + A) - 122
180 - A = 270 + 3A - 122
180 - A = 148 + 3A
180 - 148 = 3A + A
32 = 4A
A = 32/4
A = 8 degrees
:
See of that works out
180 - 8 = 172 is the supplement
90 - 8 = 82 is the complement
Write the statement with this information
"The supplement of an angle is 122 degrees less than 3 times the supplement of the complement of the angle."
172 = 3(180 - 82) - 122
172 = 3(98) - 122
172 = 294 - 122
172 = 172, Equality reigns with this solution, we're so blessed!!
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