Answer:
The smaller angle is 40°.
The larger angle is 140°.
Explanation:
We can find the angles using a system of equations, where:
- x is the measure of one angle,
- and y is the measure of the other angle.
First equation:
We know that the sum of two supplementary angles is 180°.
Thus, our first equation is given by:
x + y = 180
Second equation:
Since one of the angles is 3.5 times the other, our second equation given by:
x = 3.5y
Method to solve: Substitution:
Solving for y:
Now we can solve for y by substituting 3.5y for x in the first equation:
3.5y + y = 180
(4.5y = 180) / 4.5
y = 40
Solving for x:
Now we can solve for x by plugging in 40 for y in the second equation:
x = 3.5(40)
x = 140