Given m || n, find the value of x and y ​

Answer:

[tex]\boxed {x = 16\\ }\\\\\boxed {y = 24}[/tex]

Step-by-step explanation:

Hello There!

the angle labeled 7x + 13 and the angle labeled 9x - 19 are alternate exterior angles

alternate exterior angles are congruent so we can solve for x using this equation

7x-13=9x-19

step 1 subtract 13 to each side

-13 + 13 cancels out

-19-13 = -32

now we have

7x=9x-32

step 2 subtract 9x from each side

7x-9x=-2x

now we have

-2x=-32

step 3 divide each side by -2

-2x/-2=x

-32/-2=16

we're left with x = 16

Now lets plug in x to find the measure of the angle

16x9=144

27-19=125

the angle labeled 3y - 17 and the angle that has a measure of 125 degrees are supplementary angles meaning that the sum of the two angles is 180

so we can use this equation to solve for y

3y-17+125=180

step 1 combine like terms

-17+125=108

now we have

3y+108=180

step 2 subtract 108 from each side

180-108=72

108-108 cancels out

now we have

3y=72

step 3 divide each side by 3

3y/3=y

72/3=24

we're left with y=24

I hate stuff like this can someone help

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X
у
3
1
-2
4
-1
7
0
10
21
2
13.
16
3
19
1
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x
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2
3
7
5
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