Given: ∠QPR = 46° PQ and PR are tangents. Therefore, the radius drawn to these tangents will be perpendicular to the tangents. So, we have OQ ⊥ PQ and OR ⊥ RP. ⇒ ∠OQP = ∠ORP = 90∘ So, in quadrilateral PQOR, we have ∠OQP +∠QPR + ∠PRO + ∠ROQ = 360∘ ⇒ 90° + 46° + 90° + ∠ROQ = 360∘ ⇒ ∠ROQ = 360∘ − 226∘ = 134∘
Hence, the correct option is B.
Concept: Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles