SOLUTION: Find the measure of an angle who supplement measures 39 more than twice its complement. Like to know if I am setting up the equation properly? Angle = x Supplement = 180-x

Algebra ->  Angles -> SOLUTION: Find the measure of an angle who supplement measures 39 more than twice its complement. Like to know if I am setting up the equation properly? Angle = x Supplement = 180-x       Log On


   

Question 466036: Find the measure of an angle who supplement measures 39 more than twice its complement.
Like to know if I am setting up the equation properly?
Angle = x
Supplement = 180-x
Complement = 90-x
180-x = 2(90-x)+39
180 = 219
x= 39
Can I also say the supplement is 141 degrees and the complement is 56 degrees even though the problem is not requesting to find them?
Found 4 solutions by richard1234, ewatrrr, amoresroy, Alan3354:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct in setting up the equation, and your final answer is correct; you probably typoed when you wrote "180 = 219" when it should be "180 = 219 - x." And the complement of 39 degrees is 90 - 39 = 51 degrees. You do not have to state the supplement or the complement for this problem.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Find measure of an angle who supplement measures 39 more than twice its complement

you set it up very nicely!

180-x = 2(90-x)+39

180 = 219

x = 39, angle requested



CHECKING our Answer*** Finding Supp = 141 and Comp = 51 works nicely for checking,

Question only requested the original angle x however.

 141 = 2*51 + 39 = 102 + 39 = 141

Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you are setting up the equation right.
Just a minor correction...
x - 180 = 219
x = 39
The supplement is 141 degrees and the complement is 51 degrees.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the measure of an angle who supplement measures 39 more than twice its complement.
-------------
Angle = x
Supplement = 180-x
Complement = 90-x
180-x = 2(90-x)+39
---------- 180 does not equal 219. I think you're subtracting there.
180-x = 180 - 2x + 39
-x = -2x + 39
x = 39 degs
----------------
Supp = 141, comp = 51