In a ∆PQR, ∠Q : ∠R = 6 : 5 and I and O are the incentre and orthocentre of ∆PQR whereas I1 is the incentre of ∆QIR. If ∠QI1R = 147°, then what is the ratio of the measure of ∠POR to the measure of ∠PIQ?

1
9 : 10
2
8 : 9
3
10 : 11
4
5 : 6

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