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Unsolvable Fricton Problem

How do I solve this,

"Given that the static fricton is between the object weighing 60 lbs and the inclined plane. Find the force and angle such that motion is impending (about to happen).

(Note the Force Diagram I drew did not take shown rotation of axes. The coordinate system I am using is the same as in first diagram)

I resolve everything into component form.

We also know that since motion is about to happen,

But that is not sufficent to solve this problem.