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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

Sagot :

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:

[tex](2x-10)+(2x-18)=180[/tex]

We simply solve for X:

[tex]4x-28=180\Rightarrow4x=208\Rightarrow x=52[/tex]

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

[tex]X\text{ = 2(52)}-10\Rightarrow X=94[/tex][tex]Y=2(52)-18\Rightarrow Y=86[/tex]

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.

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