Question

Can somebody help me ?? please .

Answer 1

Answer:

$X$ and $81$ are supplementary angles meaning their measures add up to 180°.

Therefore,

$81+x=180$°

$81+x-81=180-81$

$x=99$

We can also see that the angle across from x in the top left corner is equal to x by vertical angles theorem. The angle $(3y-9)$ is equal to that angle since parallels lines form congruent angles.

Therefore,

$(3y-9)=x$

$(3y-9)=99$

$3y-9+9=99+9$

$3y = 108$

$y=36$

Step-by-step explanation:

Answer 2

Answer: First let’s find x.

A straight line adds up to 180 degrees. So wen know that X and the 81 degree angle should add up to 180, so x+81=180 is our equation. Let’s solve.

Subtract 81 from 180

You get x=99 degrees.

Let’s now find Y.

We know because of the alternate interior angles property that x will have to equal 3y-9. We already know x is 99. Let’s set up an equation. 3y-9=99 let’s add our 9. We get 108. Divide by 3. We get y=36.

Step-by-step explanation:

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