PQRS is a cyclic quadrilateral in which <PSR = 105 then find angle RPQ.​

2 thoughts on “PQRS is a cyclic quadrilateral in which <PSR = 105 then find angle RPQ.​”

1. Explanation:

   Correct option is

   B

   60

   ∘

   PQRS is a cyclic quadrilateral.

   Then, ∠PQR+∠PSR=180

   ∘

   …[Opposite angles of cyclic quadrilateral are supplementary]

   ⟹ ∠PQR+150

   o

   =180

   ∘

   ⟹ ∠PQR=180

   ∘

   −150

   ∘

   =30

   ∘

   .

   In △PQR,

   ∠PRQ=90

   ∘

   (Angle of a semicircle)

   Then, ∠RPQ+90

   ∘

   +30

   ∘

   =180

   ∘

   …[Angle sum property]

   ⇒∠RPQ+120

   ∘

   =180

   ∘

   ⇒∠RPQ=60

   ∘

   .

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2. Explanation:

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