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  9. Q152

SSC Selection Post (Phase XIV) 2025 · Question 152 of 284

A quadrilateral PQRS is cyclic. If ∠P = 85 ​and ∠R = 95 ​, what is the value of ∠Q + ∠S ​? ∘

geometry

  1. A160 ​
  2. B180∘ ​Correct
  3. C190∘ ​
  4. D200 ​

Answer: B. 180∘ ​

Explanation

Given: Cyclic Quadrilateral PQRS. ∠P ​ = 85∘ , ∠R = 95∘ .​ Formula Used: ∘ Sum of opposite angles in a cyclic quadrilateral is 180 ​ ∘ Sum of all internal angles is 360 ​ Solution: ∘ Check given angles: P + R = 85 + 95 = 180 ​(This confirms it's cyclic). We need ∠Q + ∠S.​ ∘ Since Q and S are also opposite angles, their sum must be 180 .​ ∠Q ​ + ∠S = 180∘ .​ Final Answer So the correct answer is (b)

Source: SSC Selection Post (Higher Secondary) Similar Paper (Held on 25 Jul 2025 S2) — Adda247/CareerPower memory-based reconstruction with answers and solutions · memory-based

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