Answer: [tex]x=136, y = 64[/tex]
Step-by-step explanation:
Seems like you were on the right track by using setting the vertical angle to 44. Now let's use this information to solve.
We can use the opposite interior angle theorem to solve for y. Since 44° is the value opposite to y lets solve by setting them equal to each other.
[tex]y-20 = 44[/tex]
Add 20 to both sides:
[tex]y=64[/tex]
Now since x and y are supplementary to each other(since they are in the same line there angles add to 180, you can set x+(y-20) = 180 and solve for x)
[tex]x+(y-20)=180[/tex]
[tex]x+(64-20)=180[/tex]
[tex]x+44 = 180[/tex]
Subtract 44 from both sides:
[tex]x=136[/tex]
That's it!
