What happens to the angle between two wires when one current is doubled?

[Eitan Levy]

Homework Statement

We have two very long wires, each with the same mass of 20 grams per meter. They are hung from the ceiling with two identical wires. When they both had the same current flowing to the opposite directions, they created the same angle.
We double the current in one of them, is the angle that they will create (as shown in the picture) will be the same again?

Homework Equations

F=BIL

The Attempt at a Solution

I couldn't prove it. I am stuck with T₁sinθ₁=T₂sinθ₂.
Is there any assumption I am supposed to make? I know that the forces are tension, gravity and magnetic force, and I understand what their directions are.

 

[Eitan Levy]

The picture:

 

[rude man]

What does Newton's 3rd law say? What does that imply for the two angles? Will they be equal? Will they be the same or larger than before one of the currents was doubled?