SOLUTION: The sum of the measures of an acute angle and an obtuse angle is 140. The sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is 340.

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Question 1194130: The sum of the measures of an acute angle and an obtuse angle is 140. The sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is 340. What are the measures of the angles?
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20849) (Show Source):
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The sum of the measures of an acute angle and an obtuse angle is .
let an acute angle be and an obtuse angle

.........eq.1
The sum of twice the supplement of the obtuse angle and three times the complement of the acute angle is .
if
the supplement of the obtuse angle:
the complement of the acute angle:
we have:

since

the measures of the angles are: and

Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!
If you prefer two variables:

x, the meas of the acute angle
y, the meas of the obtuse angle

Supplement of y,
Complement of x,

The description second sentence

system:

multiply the first by 2