In the given figure, O is the center of the circle. Circle has 3 tangents. ∠QPR = 50°, then what is the value (in degree) of ∠QOR ?

Answer & explanation
Correct answer: option 1

∠PMO = ∠PNO = 90°
(angle made by tangent)
∠MPO = ∠NPO = 25° (ΔPMO ≅ ΔPNO)
∠QOR = 90° - \(\frac{1P}{2}\) = 90° - 25°
= 65°