Problem
Let PQRS be a quadrilateral in a plane, where QR = 1, ∠PQR = ∠QRS = 70°, ∠PQS = 15°, and ∠PRS = 40°. If ∠RPS = θ°, PQ = α, and PS = β, then the interval(s) that contains the value of 4αβsinθ° is / are
A (0, √2)
B (1, 2)
C (√2, 3)
D (2√2, 3√2)