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gregori [183]
3 years ago
9

What are the values of the variables?

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0

I know that:

2x+12+3x+23=180

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:

5x+35=180

5x=145

x=29

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

2x+12+y=180

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

2(29)+12+y=180

58+12+y=180

70+y=180

y=110

Your final answers would be:

x=29

y=110

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

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