Question

Find the value of x that makes s and t parallel.
3.
3(x-8)"
2(x + 10)"
I

Answer 1

x=36.8

Explanation:

We know that the two angles given are supplementary so we can do:

3(x-8)+2(x+10)=180

Then we simplify.

3x-24+2x+20=180

Simplify

5x-4=180

Combine like terms

5x-4=180

+4 +4

5x=184

Divide to make it x alone.

5x=184

/5 /5

x = 36.8

I hope this helped

Answer 2

x=44

Explanation:

If the lines were parallel, then those two angles would be equal since they are alternate interior angles. So:

3(x-8)=2(x+10)

3x-24=2x+20

x=44

Hope this is helpful! :)