We're told that the system is in equilibrium.
Let the tension on the left wire be T1 and that on the right wire be T2.
Also, let's take each of the two wires to make an angle θ with the vertical.
In this problem, the weight of the picture frame is equal to the external forces.
That is, W = Fexternal
But W = mg
You may want to review (Pages 130 - 135).
For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Two-dimensional equilibrium.
If the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame? (Neglect any friction between the wall and the picture frame.)
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Our tutors have indicated that to solve this problem you will need to apply the Equilibrium in 2D concept. You can view video lessons to learn Equilibrium in 2D. Or if you need more Equilibrium in 2D practice, you can also practice Equilibrium in 2D practice problems.