Question

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

Answer 1

`\boxed {x = 16\\ }\\\\\boxed {y = 24}`

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