In the given figure, if OQ = OR then find the ratio of m° : n°?

1 : 3 3 : 1 1 : 1 3 : 4

3 : 1

In ΔOQR OQ = QR ∠ORQ = ∠QOR = n° ∠PQO = ∠ORQ + ∠QOR = 2n [exterior angle] In ΔPOQ ∠OQP = ∠OPQ = 2n (by radius) now, in ΔPOR ∠POS = ∠ORP  + ∠OPR m° = n° + 2n° = 3n° m° : n° = 3n : n = 3 : 1