PQRS is a cyclic quadrilateral. The tangents to the circle at the point P and R on it, intersect at A. If ∠PQR = 94°, then what is the measure of ∠PAR ?

18° 8° 12° 16°

8°

∠PQR + ∠PSR = 180° 94° + ∠PSR = 180° ∠PSR = 86° ∠PSR ≠ ∠PSR ≠ ∠PAR = 86° (alternate segment theorem) In ΔPAR ∠PAR + ∠APR + ∠ARP = 180° ∠PAR + 86° + 86° = 180° ∠PAR = 8°