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PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If ∠QPR = 67° and ∠SPR = 72°, then ∠QRS = 

A. 41° 

B. 23° 

C. 67° 

D. 18°

1 Answer

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Best answer

Option : (A)

Given that, 

PQRS is a cyclic quadrilateral 

∠QPR  = 67° 

∠SPR = 72° 

∠SPQ = ∠QPR + ∠SPR 

= 67° + 72° = 139° 

∠SPQ + ∠QRS = 180° 

(Opposite angles of cyclic quadrilateral) 

139° + ∠QRS = 180° 

∠QRS = 41°

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