Question

We have that angles X & Y are supplementary and X = 2x-10 and Y = 2x-18What is the value of x and the angles of X & Y

Answer 1

We have that angles X & Y are supplementary and X = 2x-10 and Y = 2x-18

What is the value of x and the angles of X & Y

Since we have that X & Y are supplementary, then X+Y = 180°, and since we already know the value of X and Y, we replace:

`(2x-10)+(2x-18)=180`

We simply solve for X:

`4x-28=180\Rightarrow4x=208\Rightarrow x=52`

Now, replacing this this value for x in both our angles, we will have:

`X\text{ = 2(52)}-10\Rightarrow X=94`
`Y=2(52)-18\Rightarrow Y=86`

When we add X and Y we get 180, therefore, the angle of X = 94°, the angle of Y = 86° and the value of x is 52.