The correct option is D No extra information is necessary and x+y=100∘
We know that in a rectangle, all angles are equal to 90∘.
So, the angles (x+30)∘ and (y+50)∘ need to be equated to 90∘ respectively. This gives us the following equations:
Solving these equations, we get x=60∘ and y=40∘ respectively and therefore, x+y=100∘.