SSC CGL 26 Oct 2014 Shift 1 Paper

PQRS is a concyclic quadrilateral.
∴ ∠ PSQ + ∠ PQR = 180°
⇒ 130° + ∠ PQR = 180°
⇒ ∠ PQR = 180° – 130° = 50°
Angle of a semi-circle is a right angle.
∴ ∠ PRQ = 90°
∴ ∠ RPQ = 90° – 50° = 40°