A quadrilateral has interior angles

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

A quadrilateral MNOPMNOP has interior angles ∠M=100∘,  ∠N=95∘,  ∠O=80∘,  ∠P=85∘\angle M=100^\circ,\;\angle N=95^\circ,\;\angle O=80^\circ,\;\angle P=85^\circ. Which statement is correct? (a) MNOPMNOP is not cyclic because only one pair of opposite angles adds to 180∘180^\circ. (b) MNOPMNOP is cyclic because ∠N+∠O=180∘\angle N+\angle O = 180^\circ. (c) MNOPMNOP is cyclic because ∠M+∠O=180∘\angle M+\angle O = 180^\circ. (d) MNOPMNOP is cyclic because ∠M+∠O=190∘\angle M+\angle O = 190^\circ.

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