SOLUTION: The measure of the angle's supplement is 40 degrees more than 3 times that of its complement. Find the measure of the angle described. I know the answer is 65 but not sure ho

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Question 183256This question is from textbook Blitzer- Introductory Algebra
: The measure of the angle's supplement is 40 degrees more than 3 times that of its complement. Find the measure of the angle described.
I know the answer is 65 but not sure how to find the answer. This is what I came up with but it doesn't work out correctly.
x=3(180-x)+40
I'd sure appreciate your help. I'm in my 40's and going to college for the first time. Math isn't coming easy but I'm really trying my best. Thanks This question is from textbook Blitzer- Introductory Algebra

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The measure of the angle's supplement is 40 degrees more than 3 times that of its complement. Find the measure of the angle described.
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Let the angle be "x":
Complement is "90-x"
Supplement is "180-x"
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Equation:
180-x = 3(90-x) + 40
180 - x = 270 - 3x + 40
2x = 270 + 40 - 180
2x = 130
x = 65 degrees
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=unknown angle
So the supplement is 180-x and the compliment is 90-x

This means that "The measure of the angle's supplement is 40 degrees more than 3 times that of its complement" translates to 180-x=3%2890-x%29%2B40


180-x=3%2890-x%29%2B40 Start with the given equation.


180-x=270-3x%2B40 Distribute.


180-x=-3x%2B310 Combine like terms on the right side.


-x=-3x%2B310-180 Subtract 180 from both sides.


-x%2B3x=310-180 Add 3x to both sides.


2x=310-180 Combine like terms on the left side.


2x=130 Combine like terms on the right side.


x=%28130%29%2F%282%29 Divide both sides by 2 to isolate x.


x=65 Reduce.


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Answer:

So the answer is x=65 which means that the unknown angle is 65 degrees.