Answer:
x=20, y=100
Step-by-step explanation:
3x+2x=7x-40
5x=7x-40
2x=40
x=20
7x-40=y
140-40=y
100=y
y=100
According to the exterior angle theorem, the two remote interior angles are equal to the exterior angle. This is why we set 3x+2x equal to 7x-40.
According to the vertical angles theorem, two angles that are opposite and formed by two intersecting straight lines are equal. This is why we set 7x-40 equal to y.
Because we already knew that x was 20, we could put it into our equation. (7*20)-40=y.
Hope this helped! :D
