In the given figure, if OQ = OR then find the ratio of m° : n°?
Answer & explanation
Correct answer: option 2
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