Two angle sare supplementary. one angle measures 75° more than twice the measure of the other. what are the measurements of the two angles?

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

             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 =

              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