In the given figure, PQRS is a cyclic quadrilateral. What is the measure of the angle PQR if PQ is parallel to SR?

70° 110° 80° 100°

110°

We know that, In cyclic quadrilateral PQRS, ∠SPQ + ∠SRQ = 180°  = 110° + ∠SRQ = 180°  = ∠SRQ = 180° – 110°  = ∠SRQ = 70° Now, ∠SRQ + ∠PQR = 180°       = 70° + ∠PQR = 180° = ∠PQR = 180° – 70°  = ∠PQR = 110°