Mathematics

Mathematics

Problem

The angles of quadrilateral PQRSPQRS are ∠P=85∘,  ∠Q=80∘,  ∠R=95∘,  ∠S=100∘\angle P = 85^\circ,\; \angle Q = 80^\circ,\; \angle R = 95^\circ,\; \angle S = 100^\circ. Which of the following statements is true about PQRSPQRS? a) PQRSPQRS is cyclic because the sum of all four angles is 360∘360^{\circ} b) PQRSPQRS is cyclic because ∠Q+∠R=180∘\angle Q + \angle R = 180^{\circ} c) PQRSPQRS is cyclic because ∠P+∠R=180∘\angle P + \angle R = 180^{\circ} d) PQRSPQRS is not cyclic because no pair of opposite angles is supplementary

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