YoJay
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What are the values of the variables?

I am confused of what I need to do. I'm not sure if I find both x and y, or y or x.

Should I also equal both of these equations to find the answer?

What are the values of the variables I am confused of what I need to do Im not sure if I find both x and y or y or xShould I also equal both of these equations class=

Respuesta :

I know that:

[tex] 2x+12+3x+23=180 [/tex]

How do I know that? Well, according to the Alternate Interior Angles Theorem, I know that 2x+12 could also go right above 3x+23.

If that is the case, then they would both equal 180° because they would both sit on a straight line. Let's solve:

[tex] 5x+35=180 [/tex]

[tex] 5x=145 [/tex]

[tex] x=29 [/tex]

Now we know what x is equal to. Let's solve for y. I know that:

[tex] 2x+12+y=180 [/tex]

because they sit on a straight line. Since we have x, this is solvable. Let's plug in our x value and solve.

[tex] 2(29)+12+y=180 [/tex]

[tex] 58+12+y=180 [/tex]

[tex] 70+y=180 [/tex]

[tex] y=110 [/tex]

Your final answers would be:

[tex] x=29 [/tex]

[tex] y=110 [/tex]

If you need to find the angles, just plug in these numbers for the variables and solve.

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