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 ?
Answer & explanation
Correct answer: option 2
∠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°