Question

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

Answer 1

The measurements of two angles are 40 and 140

Step-by-step 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

`1.75 * 2`

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 =
`(180)/(4.5)`

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