In a cyclic quadrilateral

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

Problem

In a cyclic quadrilateral PQRSPQRS, the angles are given by ∠P=(2x+10)∘,  ∠R=(x+20)∘,  ∠Q=(3y−10)∘,  ∠S=(2y−20)∘.\angle P=(2x+10)^\circ,\;\angle R=(x+20)^\circ,\;\angle Q=(3y-10)^\circ,\;\angle S=(2y-20)^\circ. Which ordered pair (x, y)(x,\,y) satisfies these conditions? (a) (40, 35)(40,\,35) (b) (45, 45)(45,\,45) (c) (50, 42)(50,\,42) (d) (50, 35)(50,\,35)

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