Answer:
The measurements of two angles are 40 and 140
Explanation:
Let's call the angles as x and y.
We know that supplementary angles must add to 180 degrees,
so, x+y=180. ---------(i)
Furthermore, we know that x is 75% more than 2 y.
We can write "75% more than" numerically as 1.75,
so x = 1.75(2 y).
We can simplify the second equation by multiplying
[tex]1.75 \times 2[/tex]
x = 3.5 y.
Now we can solve the system of equations by substitution by plugging
3.5y in for x in
x+y=180.
(3.5 y) + y = 180
Combine like terms.
4.5 y = 180
y =[tex]\frac{180}{4.5}[/tex]
y = 40
Putting the value of y = 40 in equation (i) and calculating the value of x
x + 40 = 180
x = 140
The answer is 40 and 140.
Therefore, the measurements of two angles are 40 and 140
