Are Identical Masses' Angles Equal for Different Charges?

[anban]

Homework Statement

I have a problem as follows: "Two charges of identical mass hang from the same point by a thread of length l. One has charge q and the other has charge 2q. Find the angle each mass makes with the vertical."

Now, I got an answer and found that each mass will make the same angle with respect to the vertical. Is this true? When I imagine this scenario in my head it seems like their angles would be different. Are the angles equal for both masses when the masses are equal, regardless of the charges?

Homework Equations

The Attempt at a Solution

There is an assumption that the masses are "large" and the charges are "small".

 

[gneill]

Ponder Newton's Third Law.

 

[anban]

Got it- equal and opposite forces. Thank you.