PQR is an equilateral triangle with an area of 7 square units.

S and T are points on sides PQ and PR , respectively, such that PT = QS.

O denotes the intersection of QT and RS.

Given that the triangle QOR has an area of 2 square units:

(a) Find the possible values of SQ/PQ and, prove that no other values are possible.

(b) Find angle POQ.