Splitting Them Up!!

Geometry Level 5

In The Diagram,

Two Straight Lines Through \(O(0,0)\),

So That The Lines Divide the Figure \(OPQRST\) in \(3\) Pieces Of Equal Area.

If the Sum of Slope Of these Lines can be Expressed as \(\dfrac{m}{n}\),where \(m,n\) Are Co-Prime.

Find \(\space m+n\).

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