SOLUTION: An angle is 40degrees larger than its supplement. What are the measures of the two angles? I don't know how to identify the variables OR how to plug them into an equation.

Question 155912: An angle is 40degrees larger than its supplement. What are the measures of the two angles?
I don't know how to identify the variables OR how to plug them into an equation.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An angle is 40degrees larger than its supplement. What are the measures of the two angles?
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Let the angle be "x": Then the suppliement is 180-x
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EQUATION:
x = (180-x)+40
2x = 220
x = 110 (the angle)
180 - x =180 - 110 = 70 (the other angle)
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Cheers,
Stan H.

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
An angle is 40degrees larger than its supplement. What are the measures of the two angles?
I don't know how to identify the variables OR how to plug them into an equation.
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Start with what it says, "An angle..."
Call it A.
Then, it makes reference to "its supplement", which is 180-A. Right? A supplement is always 180 minus the angle.
Then, it says A = S + 40 (S = supplement), so
A = (180 - A) + 40
Solve for A
A = 180 - A + 40
A = 220 - A
2A = 220
A = 110
To check:
The supplement is 180 - A = 70
110 is 40 more than the supplement.

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