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.

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): You can put this solution on YOUR website!

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

RELATED QUESTIONS
The sum of the measures an obtuse angle & an acute angle is 160 . the sum of the... (answered by jrfrunner)
The sum of the measures of an acute angle and an obtuse angle is 150 degrees. The sum of... (answered by ankor@dixie-net.com)
the sum of the measures of an obtuse angle and an acute angle is 160.the sum of the... (answered by stanbon)
The sum of the measure of an acute angle and an obtuse angle is 160. The sum of three... (answered by josgarithmetic)
the sum of the measures of an obtuse and an acute angle is 160. the sum of the complement (answered by gsmani_iyer)
What is the supplement of an obtuse angle? And what is the complement of an acute... (answered by jim_thompson5910)
Twice the complement of an acute angle exceeds an obtuse angle by 10 degrees. Twice the... (answered by swincher4391)
tell wheather the statement is always , sometimes or never true. 1. An obtuse angle has... (answered by radh)
177degrees measure of an angle is given. classify the angle as acute, right, obtuse or... (answered by stanbon)